416431506725 has 48 divisors (see below), whose sum is σ = 562394837760. Its totient is φ = 304044192000.

The previous prime is 416431506721. The next prime is 416431506761. The reversal of 416431506725 is 527605134614.

It is not a de Polignac number, because 416431506725 - 2² = 416431506721 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416431506721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24249092 + ... + 24266258.

It is an arithmetic number, because the mean of its divisors is an integer number (11716559120).

Almost surely, 2^416431506725 is an apocalyptic number.

It is an amenable number.

416431506725 is a deficient number, since it is larger than the sum of its proper divisors (145963331035).

416431506725 is a wasteful number, since it uses less digits than its factorization.

416431506725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18030 (or 18025 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 416431506725 in words is "four hundred sixteen billion, four hundred thirty-one million, five hundred six thousand, seven hundred twenty-five".