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40400440800 = 2535216833517
BaseRepresentation
bin100101101000000011…
…011100110111100000
310212021120120001000020
4211220003130313200
51130220003101200
630320521353440
72630106036456
oct455003346740
9125246501006
1040400440800
1116151aa5155
1279b6038880
133a6b019695
141d538489d6
1510b6c35ea0
hex9680dcde0

40400440800 has 72 divisors (see below), whose sum is σ = 131503442616. Its totient is φ = 10773450240.

The previous prime is 40400440771. The next prime is 40400440813. The reversal of 40400440800 is 804400404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8414359 + ... + 8419158.

It is an arithmetic number, because the mean of its divisors is an integer number (1826436703).

Almost surely, 240400440800 is an apocalyptic number.

40400440800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400440800 is an abundant number, since it is smaller than the sum of its proper divisors (91103001816).

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

40400440800 is a wasteful number, since it uses less digits than its factorization.

40400440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16833540 (or 16833527 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 40400440800 in words is "forty billion, four hundred million, four hundred forty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 16833517 33667034 50500551 67334068 84167585 101001102 134668136 168335170 202002204 252502755 269336272 336670340 404004408 420837925 505005510 538672544 673340680 808008816 841675850 1010011020 1262513775 1346681360 1616017632 1683351700 2020022040 2525027550 2693362720 3366703400 4040044080 5050055100 6733406800 8080088160 10100110200 13466813600 20200220400 40400440800