414925727616 has 96 divisors (see below), whose sum is σ = 1208377726920. Its totient is φ = 136642176000.

The previous prime is 414925727611. The next prime is 414925727627. The reversal of 414925727616 is 616727529414.

414925727616 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 2 + 572 + 7 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414925727611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074135 + ... + 2265366.

Almost surely, 2^414925727616 is an apocalyptic number.

It is an amenable number.

414925727616 is an abundant number, since it is smaller than the sum of its proper divisors (793451999304).

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

414925727616 is a wasteful number, since it uses less digits than its factorization.

414925727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339604 (or 4339589 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 414925727616 in words is "four hundred fourteen billion, nine hundred twenty-five million, seven hundred twenty-seven thousand, six hundred sixteen".