40444156656 has 200 divisors, whose sum is σ = 123433706880. Its totient is φ = 12749498496.

The previous prime is 40444156633. The next prime is 40444156661. The reversal of 40444156656 is 65665144404.

40444156656 is a `hidden beast` number, since 4 + 0 + 44 + 41 + 566 + 5 + 6 = 666.

40444156656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19378045 + ... + 19380131.

Almost surely, 2^40444156656 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 40444156656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61716853440).

40444156656 is an abundant number, since it is smaller than the sum of its proper divisors (82989550224).

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

40444156656 is a wasteful number, since it uses less digits than its factorization.

40444156656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 40444156656 in words is "forty billion, four hundred forty-four million, one hundred fifty-six thousand, six hundred fifty-six".