40444774656 has 216 divisors, whose sum is σ = 127422469440. Its totient is φ = 11312885760.

The previous prime is 40444774633. The next prime is 40444774661. The reversal of 40444774656 is 65647744404.

It is a junction number, because it is equal to n+sod(n) for n = 40444774599 and 40444774608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191325 + ... + 1224803.

It is an arithmetic number, because the mean of its divisors is an integer number (589918840).

Almost surely, 2^40444774656 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 40444774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63711234720).

40444774656 is an abundant number, since it is smaller than the sum of its proper divisors (86977694784).

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

40444774656 is a wasteful number, since it uses less digits than its factorization.

40444774656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33533 (or 33508 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 51.

The spelling of 40444774656 in words is "forty billion, four hundred forty-four million, seven hundred seventy-four thousand, six hundred fifty-six".