418212890625 has 52 divisors (see below), whose sum is σ = 698242186928. Its totient is φ = 222656250000.

The previous prime is 418212890593. The next prime is 418212890629. The reversal of 418212890625 is 526098212814.

It is a trimorphic number since its cube, 73146280148648656904697418212890625, ends in 418212890625.

It is not a de Polignac number, because 418212890625 - 2⁵ = 418212890593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418212890629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 732421590 + ... + 732422160.

It is an arithmetic number, because the mean of its divisors is an integer number (13427734364).

Almost surely, 2^418212890625 is an apocalyptic number.

It is an amenable number.

418212890625 is a deficient number, since it is larger than the sum of its proper divisors (280029296303).

418212890625 is an frugal number, since it uses more digits than its factorization.

418212890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 418212890625 in words is "four hundred eighteen billion, two hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".