40508006468800 has 84 divisors (see below), whose sum is σ = 107342322196816. Its totient is φ = 14956802380800.

The previous prime is 40508006468789. The next prime is 40508006468869. The reversal of 40508006468800 is 886460080504.

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, 973729356 + ... + 973770955.

Almost surely, 2^{40508006468800} is an apocalyptic number.

40508006468800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40508006468800 is an abundant number, since it is smaller than the sum of its proper divisors (66834315728016).

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

40508006468800 is a wasteful number, since it uses less digits than its factorization.

40508006468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947500346 (or 1947500331 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 40508006468800 in words is "forty trillion, five hundred eight billion, six million, four hundred sixty-eight thousand, eight hundred".