413735720027201 has 32 divisors (see below), whose sum is σ = 486497975040000. Its totient is φ = 346883100367680.

The previous prime is 413735720027143. The next prime is 413735720027239. The reversal of 413735720027201 is 102720027537314.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413735720027201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413735720027101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5591061800 + ... + 5591135798.

It is an arithmetic number, because the mean of its divisors is an integer number (15203061720000).

Almost surely, 2^{413735720027201} is an apocalyptic number.

It is an amenable number.

413735720027201 is a deficient number, since it is larger than the sum of its proper divisors (72762255012799).

413735720027201 is a wasteful number, since it uses less digits than its factorization.

413735720027201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108149.

The product of its (nonzero) digits is 493920, while the sum is 44.

The spelling of 413735720027201 in words is "four hundred thirteen trillion, seven hundred thirty-five billion, seven hundred twenty million, twenty-seven thousand, two hundred one".