4055311338624 has 1536 divisors, whose sum is σ = 15554267688960. Its totient is φ = 984936775680.

The previous prime is 4055311338581. The next prime is 4055311338641. The reversal of 4055311338624 is 4268331135504.

4055311338624 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 3 + 1 + 13 + 3 + 8 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4055311338624.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11686776019 + ... + 11686776365.

It is an arithmetic number, because the mean of its divisors is an integer number (10126476360).

Almost surely, 2^{4055311338624} 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 4055311338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777133844480).

4055311338624 is an abundant number, since it is smaller than the sum of its proper divisors (11498956350336).

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

4055311338624 is a wasteful number, since it uses less digits than its factorization.

4055311338624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4055311338624 in words is "four trillion, fifty-five billion, three hundred eleven million, three hundred thirty-eight thousand, six hundred twenty-four".