40431876096 has 192 divisors, whose sum is σ = 114541408800. Its totient is φ = 12658802688.

The previous prime is 40431876011. The next prime is 40431876097. The reversal of 40431876096 is 69067813404.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40431876097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6589446 + ... + 6595578.

Almost surely, 2^40431876096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40431876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57270704400).

40431876096 is an abundant number, since it is smaller than the sum of its proper divisors (74109532704).

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

40431876096 is a wasteful number, since it uses less digits than its factorization.

40431876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 40431876096 in words is "forty billion, four hundred thirty-one million, eight hundred seventy-six thousand, ninety-six".