415634147201 has 16 divisors (see below), whose sum is σ = 512899497600. Its totient is φ = 327985676928.

The previous prime is 415634147191. The next prime is 415634147231. The reversal of 415634147201 is 102741436514.

It is not a de Polignac number, because 415634147201 - 2³⁸ = 140756240257 is a prime.

It is a super-2 number, since 2×415634147201² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (415634147231) 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, 5991116 + ... + 6060093.

It is an arithmetic number, because the mean of its divisors is an integer number (32056218600).

Almost surely, 2^415634147201 is an apocalyptic number.

It is an amenable number.

415634147201 is a deficient number, since it is larger than the sum of its proper divisors (97265350399).

415634147201 is a wasteful number, since it uses less digits than its factorization.

415634147201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12051608.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 415634147201 in words is "four hundred fifteen billion, six hundred thirty-four million, one hundred forty-seven thousand, two hundred one".