414801134188 has 48 divisors (see below), whose sum is σ = 861148108800. Its totient is φ = 171076170240.

The previous prime is 414801134159. The next prime is 414801134197. The reversal of 414801134188 is 881431108414.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1179493 + ... + 1490236.

It is an arithmetic number, because the mean of its divisors is an integer number (17940585600).

Almost surely, 2^414801134188 is an apocalyptic number.

It is an amenable number.

414801134188 is an abundant number, since it is smaller than the sum of its proper divisors (446346974612).

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

414801134188 is a wasteful number, since it uses less digits than its factorization.

414801134188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669950 (or 2669948 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 414801134188 in words is "four hundred fourteen billion, eight hundred one million, one hundred thirty-four thousand, one hundred eighty-eight".