416134220625 has 60 divisors (see below), whose sum is σ = 751891745748. Its totient is φ = 221708160000.

The previous prime is 416134220603. The next prime is 416134220641. The reversal of 416134220625 is 526022431614.

416134220625 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 3 + 4 + 2 + 20 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 352565187984 + 63569032641 = 593772^2 + 252129^2 .

It is not a de Polignac number, because 416134220625 - 2⁶ = 416134220561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416134220625.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5457765 + ... + 5533485.

Almost surely, 2^416134220625 is an apocalyptic number.

416134220625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416134220625 is a deficient number, since it is larger than the sum of its proper divisors (335757525123).

416134220625 is an equidigital number, since it uses as much as digits as its factorization.

416134220625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76724 (or 76706 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 416134220625 in words is "four hundred sixteen billion, one hundred thirty-four million, two hundred twenty thousand, six hundred twenty-five".