414645625320 has 128 divisors (see below), whose sum is σ = 1256384649600. Its totient is φ = 109467058176.

The previous prime is 414645625283. The next prime is 414645625321. The reversal of 414645625320 is 23526546414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414645625321) 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, 21266136 + ... + 21285624.

It is an arithmetic number, because the mean of its divisors is an integer number (9815505075).

Almost surely, 2^414645625320 is an apocalyptic number.

414645625320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414645625320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628192324800).

414645625320 is an abundant number, since it is smaller than the sum of its proper divisors (841739024280).

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

414645625320 is a wasteful number, since it uses less digits than its factorization.

414645625320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21267 (or 21263 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 414645625320 in words is "four hundred fourteen billion, six hundred forty-five million, six hundred twenty-five thousand, three hundred twenty".