4013201112264 has 80 divisors (see below), whose sum is σ = 11242182164400. Its totient is φ = 1337554820448.

The previous prime is 4013201112253. The next prime is 4013201112311. The reversal of 4013201112264 is 4622111023104.

4013201112264 is a `hidden beast` number, since 4 + 0 + 1 + 320 + 111 + 226 + 4 = 666.

It is a super-2 number, since 2×4013201112264² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4480147 + ... + 5300765.

It is an arithmetic number, because the mean of its divisors is an integer number (140527277055).

Almost surely, 2^{4013201112264} is an apocalyptic number.

It is an amenable number.

4013201112264 is an abundant number, since it is smaller than the sum of its proper divisors (7228981052136).

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

4013201112264 is a wasteful number, since it uses less digits than its factorization.

4013201112264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828184 (or 828171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4013201112264 its reverse (4622111023104), we get a palindrome (8635312135368).

The spelling of 4013201112264 in words is "four trillion, thirteen billion, two hundred one million, one hundred twelve thousand, two hundred sixty-four".