40431416256 has 378 divisors, whose sum is σ = 148192175040. Its totient is φ = 10500779520.

The previous prime is 40431416239. The next prime is 40431416261. The reversal of 40431416256 is 65261413404.

40431416256 is a `hidden beast` number, since 404 + 3 + 141 + 62 + 56 = 666.

40431416256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40431416256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3409185 + ... + 3421023.

Almost surely, 2^40431416256 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 40431416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74096087520).

40431416256 is an abundant number, since it is smaller than the sum of its proper divisors (107760758784).

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

40431416256 is a wasteful number, since it uses less digits than its factorization.

40431416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40431416256 in words is "forty billion, four hundred thirty-one million, four hundred sixteen thousand, two hundred fifty-six".