40007680800400 has 60 divisors (see below), whose sum is σ = 99219048415744. Its totient is φ = 15486844176000.

The previous prime is 40007680800361. The next prime is 40007680800433. The reversal of 40007680800400 is 400808670004.

It is a super-2 number, since 2×40007680800400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40007680800400.

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, 1613200536 + ... + 1613225335.

Almost surely, 2^{40007680800400} is an apocalyptic number.

40007680800400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40007680800400 is an abundant number, since it is smaller than the sum of its proper divisors (59211367615344).

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

40007680800400 is a wasteful number, since it uses less digits than its factorization.

40007680800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226425920 (or 3226425909 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 40007680800400 in words is "forty trillion, seven billion, six hundred eighty million, eight hundred thousand, four hundred".