414027720414 has 48 divisors (see below), whose sum is σ = 1118412547200. Its totient is φ = 107539667280.

The previous prime is 414027720367. The next prime is 414027720437.

414027720414 is a `hidden beast` number, since 41 + 402 + 7 + 7 + 204 + 1 + 4 = 666.

414027720414 is nontrivially palindromic in base 10.

It is a Curzon number.

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, 149359264 + ... + 149362035.

It is an arithmetic number, because the mean of its divisors is an integer number (23300261400).

Almost surely, 2^414027720414 is an apocalyptic number.

414027720414 is an abundant number, since it is smaller than the sum of its proper divisors (704384826786).

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

414027720414 is a wasteful number, since it uses less digits than its factorization.

414027720414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298721325 (or 298721322 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 414027720414 in words is "four hundred fourteen billion, twenty-seven million, seven hundred twenty thousand, four hundred fourteen".