4052256164401 has 16 divisors (see below), whose sum is σ = 4086687558096. Its totient is φ = 4017965264896.

The previous prime is 4052256164399. The next prime is 4052256164471. The reversal of 4052256164401 is 1044616522504.

It can be written as a sum of positive squares in 8 ways, for example, as 149478117376 + 3902778047025 = 386624^2 + 1975545^2 .

It is a cyclic number.

It is not a de Polignac number, because 4052256164401 - 2¹ = 4052256164399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4052256164471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103903161 + ... + 103942153.

It is an arithmetic number, because the mean of its divisors is an integer number (255417972381).

Almost surely, 2^{4052256164401} is an apocalyptic number.

It is an amenable number.

4052256164401 is a deficient number, since it is larger than the sum of its proper divisors (34431393695).

4052256164401 is a wasteful number, since it uses less digits than its factorization.

4052256164401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40772.

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 4052256164401 in words is "four trillion, fifty-two billion, two hundred fifty-six million, one hundred sixty-four thousand, four hundred one".