4056010714116 has 81 divisors (see below), whose sum is σ = 10352709021109. Its totient is φ = 1338941065728.

The previous prime is 4056010714097. The next prime is 4056010714117. The reversal of 4056010714116 is 6114170106504.

The square root of 4056010714116 is 2013954.

It is a perfect power (a square), and thus also a powerful number.

4056010714116 is a `hidden beast` number, since 4 + 0 + 5 + 601 + 0 + 7 + 1 + 41 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4050840528900 + 5170185216 = 2012670^2 + 71904^2 .

It is a super-2 number, since 2×4056010714116² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4056010714117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1292956900 + ... + 1292960036.

Almost surely, 2^{4056010714116} is an apocalyptic number.

4056010714116 is the 2013954-th square number.

It is an amenable number.

4056010714116 is an abundant number, since it is smaller than the sum of its proper divisors (6296698306993).

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

4056010714116 is an equidigital number, since it uses as much as digits as its factorization.

4056010714116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 4056010714116 by its sum of digits (36), we get a square (146016385708176 = 12083724²).

4056010714116 divided by its sum of digits (36) gives a square (112666964281 = 335659²).

The spelling of 4056010714116 in words is "four trillion, fifty-six billion, ten million, seven hundred fourteen thousand, one hundred sixteen".