412657416125 has 16 divisors (see below), whose sum is σ = 542101535040. Its totient is φ = 312750882000.

The previous prime is 412657416113. The next prime is 412657416137. The reversal of 412657416125 is 521614756214.

It is an interprime number because it is at equal distance from previous prime (412657416113) and next prime (412657416137).

It is not a de Polignac number, because 412657416125 - 2¹⁰ = 412657415101 is a prime.

It is a super-2 number, since 2×412657416125² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86872871 + ... + 86877620.

It is an arithmetic number, because the mean of its divisors is an integer number (33881345940).

Almost surely, 2^412657416125 is an apocalyptic number.

It is an amenable number.

412657416125 is a deficient number, since it is larger than the sum of its proper divisors (129444118915).

412657416125 is a wasteful number, since it uses less digits than its factorization.

412657416125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173750525 (or 173750515 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The spelling of 412657416125 in words is "four hundred twelve billion, six hundred fifty-seven million, four hundred sixteen thousand, one hundred twenty-five".