4056915953664 has 720 divisors, whose sum is σ = 14147478284940. Its totient is φ = 1154898984960.

The previous prime is 4056915953663. The next prime is 4056915953689. The reversal of 4056915953664 is 4663595196504.

4056915953664 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 9 + 1 + 595 + 36 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3959272203264 + 97643750400 = 1989792^2 + 312480^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4056915953663) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2739307804 + ... + 2739309284.

Almost surely, 2^{4056915953664} 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 4056915953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073739142470).

4056915953664 is an abundant number, since it is smaller than the sum of its proper divisors (10090562331276).

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

4056915953664 is a wasteful number, since it uses less digits than its factorization.

4056915953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 4056915953664 in words is "four trillion, fifty-six billion, nine hundred fifteen million, nine hundred fifty-three thousand, six hundred sixty-four".