40534939598400 has 2016 divisors, whose sum is σ = 170063433100800. Its totient is φ = 9360910540800.

The previous prime is 40534939598383. The next prime is 40534939598411. The reversal of 40534939598400 is 489593943504.

40534939598400 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 4 + 9 + 39 + 598 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14842525035 + ... + 14842527765.

Almost surely, 2^{40534939598400} is an apocalyptic number.

40534939598400 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 40534939598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85031716550400).

40534939598400 is an abundant number, since it is smaller than the sum of its proper divisors (129528493502400).

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

40534939598400 is a wasteful number, since it uses less digits than its factorization.

40534939598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 40534939598400 in words is "forty trillion, five hundred thirty-four billion, nine hundred thirty-nine million, five hundred ninety-eight thousand, four hundred".