40056144184224 has 384 divisors, whose sum is σ = 136580533125120. Its totient is φ = 11185013081088.

The previous prime is 40056144184139. The next prime is 40056144184283. The reversal of 40056144184224 is 42248144165004.

40056144184224 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 6 + 1 + 4 + 418 + 4 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40056144184224.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51073254 + ... + 51851610.

It is an arithmetic number, because the mean of its divisors is an integer number (355678471680).

Almost surely, 2^{40056144184224} 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 40056144184224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68290266562560).

40056144184224 is an abundant number, since it is smaller than the sum of its proper divisors (96524388940896).

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

40056144184224 is a wasteful number, since it uses less digits than its factorization.

40056144184224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778577 (or 778563 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 40056144184224 in words is "forty trillion, fifty-six billion, one hundred forty-four million, one hundred eighty-four thousand, two hundred twenty-four".