4086264145401 has 9 divisors (see below), whose sum is σ = 5902390302991. Its totient is φ = 2724172054032.

The previous prime is 4086264145391. The next prime is 4086264145441. The reversal of 4086264145401 is 1045414626804.

The square root of 4086264145401 is 2021451.

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

4086264145401 is a `hidden beast` number, since 4 + 0 + 8 + 62 + 6 + 41 + 4 + 540 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218056311225 + 3868207834176 = 466965^2 + 1966776^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-4086264145401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4086264145441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5727445 + ... + 6401261.

Almost surely, 2^{4086264145401} is an apocalyptic number.

4086264145401 is the 2021451-st square number.

4086264145401 is the 1010726-th centered octagonal number.

It is an amenable number.

4086264145401 is a deficient number, since it is larger than the sum of its proper divisors (1816126157590).

4086264145401 is an frugal number, since it uses more digits than its factorization.

4086264145401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347640 (or 673820 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4086264145401 in words is "four trillion, eighty-six billion, two hundred sixty-four million, one hundred forty-five thousand, four hundred one".