40256551861344 has 1920 divisors, whose sum is σ = 162020183592960. Its totient is φ = 9502165499904.

The previous prime is 40256551861313. The next prime is 40256551861441. The reversal of 40256551861344 is 44316815565204.

40256551861344 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 6 + 5 + 5 + 18 + 613 + 4 + 4 = 666.

40256551861344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7791085449 + ... + 7791090615.

It is an arithmetic number, because the mean of its divisors is an integer number (84385512288).

Almost surely, 2^{40256551861344} 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 40256551861344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81010091796480).

40256551861344 is an abundant number, since it is smaller than the sum of its proper divisors (121763631731616).

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

40256551861344 is a wasteful number, since it uses less digits than its factorization.

40256551861344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 40256551861344 in words is "forty trillion, two hundred fifty-six billion, five hundred fifty-one million, eight hundred sixty-one thousand, three hundred forty-four".