4004772544512 has 320 divisors, whose sum is σ = 12083964571800. Its totient is φ = 1321618636800.

The previous prime is 4004772544501. The next prime is 4004772544561. The reversal of 4004772544512 is 2154452774004.

4004772544512 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 77 + 25 + 44 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268067539 + ... + 268082477.

Almost surely, 2^{4004772544512} 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 4004772544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041982285900).

4004772544512 is an abundant number, since it is smaller than the sum of its proper divisors (8079192027288).

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

4004772544512 is an equidigital number, since it uses as much as digits as its factorization.

4004772544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15082 (or 15045 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

The spelling of 4004772544512 in words is "four trillion, four billion, seven hundred seventy-two million, five hundred forty-four thousand, five hundred twelve".