414612216414 has 48 divisors (see below), whose sum is σ = 980037362304. Its totient is φ = 125634315600.

The previous prime is 414612216409. The next prime is 414612216433.

414612216414 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 1 + 2 + 2 + 1 + 641 + 4 = 666.

414612216414 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6642129 + ... + 6704259.

It is an arithmetic number, because the mean of its divisors is an integer number (20417445048).

Almost surely, 2^414612216414 is an apocalyptic number.

414612216414 is an abundant number, since it is smaller than the sum of its proper divisors (565425145890).

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

414612216414 is a wasteful number, since it uses less digits than its factorization.

414612216414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95853 (or 95850 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 414612216414 in words is "four hundred fourteen billion, six hundred twelve million, two hundred sixteen thousand, four hundred fourteen".