40000882621392 has 1920 divisors, whose sum is σ = 155483716976640. Its totient is φ = 9282110423040.

The previous prime is 40000882621373. The next prime is 40000882621423. The reversal of 40000882621392 is 29312628800004.

40000882621392 is a `hidden beast` number, since 400 + 0 + 0 + 8 + 8 + 26 + 213 + 9 + 2 = 666.

It is a super-2 number, since 2×40000882621392² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108994230393 + ... + 108994230759.

It is an arithmetic number, because the mean of its divisors is an integer number (80981102592).

Almost surely, 2^{40000882621392} is an apocalyptic number.

40000882621392 is a gapful number since it is divisible by the number (42) 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 40000882621392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77741858488320).

40000882621392 is an abundant number, since it is smaller than the sum of its proper divisors (115482834355248).

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

40000882621392 is a wasteful number, since it uses less digits than its factorization.

40000882621392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40000882621392 in words is "forty trillion, eight hundred eighty-two million, six hundred twenty-one thousand, three hundred ninety-two".