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40041520040 = 2354135396899
BaseRepresentation
bin100101010010101010…
…010001101110101000
310211100120011222021202
4211102222101232220
51124001112120130
630221140423332
72615160206324
oct452252215650
9124316158252
1040041520040
1115a88437725
1279159a7b48
133a1185bc32
141d1bcd8984
151095489145
hex952a91ba8

40041520040 has 64 divisors (see below), whose sum is σ = 92330280000. Its totient is φ = 15619279360.

The previous prime is 40041520033. The next prime is 40041520069. The reversal of 40041520040 is 4002514004.

It is a super-2 number, since 2×400415200402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40041519994 and 40041520021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5800511 + ... + 5807409.

It is an arithmetic number, because the mean of its divisors is an integer number (1442660625).

Almost surely, 240041520040 is an apocalyptic number.

40041520040 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 40041520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46165140000).

40041520040 is an abundant number, since it is smaller than the sum of its proper divisors (52288759960).

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

40041520040 is a wasteful number, since it uses less digits than its factorization.

40041520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 40041520040 in words is "forty billion, forty-one million, five hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 3539 6899 7078 13798 14156 17695 27596 28312 34495 35390 55192 68990 70780 137980 141560 145099 275960 282859 290198 565718 580396 725495 1131436 1160792 1414295 1450990 2262872 2828590 2901980 5657180 5803960 11314360 24415561 48831122 97662244 122077805 195324488 244155610 488311220 976622440 1001038001 2002076002 4004152004 5005190005 8008304008 10010380010 20020760020 40041520040