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40000440400 = 2452434749481
BaseRepresentation
bin100101010000001101…
…100100100001010000
310211020200212220121121
4211100031210201100
51123410103043100
630213112132024
72614151063524
oct452015444120
9124220786547
1040000440400
1115a67229a08
127904097014
133a061a7b5b
141d16683d84
151091a7251a
hex950364850

40000440400 has 120 divisors (see below), whose sum is σ = 100430250624. Its totient is φ = 15295257600.

The previous prime is 40000440391. The next prime is 40000440419. The reversal of 40000440400 is 404400004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783660 + ... + 833140.

Almost surely, 240000440400 is an apocalyptic number.

40000440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40000440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50215125312).

40000440400 is an abundant number, since it is smaller than the sum of its proper divisors (60429810224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40000440400 is a wasteful number, since it uses less digits than its factorization.

40000440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49589 (or 49578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40000440400 its reverse (404400004), we get a palindrome (40404840404).

The spelling of 40000440400 in words is "forty billion, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 47 50 80 86 94 100 172 188 200 215 235 344 376 400 430 470 688 752 860 940 1075 1175 1720 1880 2021 2150 2350 3440 3760 4042 4300 4700 8084 8600 9400 10105 16168 17200 18800 20210 32336 40420 49481 50525 80840 98962 101050 161680 197924 202100 247405 395848 404200 494810 791696 808400 989620 1237025 1979240 2127683 2325607 2474050 3958480 4255366 4651214 4948100 8510732 9302428 9896200 10638415 11628035 17021464 18604856 19792400 21276830 23256070 34042928 37209712 42553660 46512140 53192075 58140175 85107320 93024280 100001101 106384150 116280350 170214640 186048560 200002202 212768300 232560700 400004404 425536600 465121400 500005505 800008808 851073200 930242800 1000011010 1600017616 2000022020 2500027525 4000044040 5000055050 8000088080 10000110100 20000220200 40000440400