414015552120 has 64 divisors (see below), whose sum is σ = 1242171832320. Its totient is φ = 110393020544.

The previous prime is 414015552113. The next prime is 414015552131. The reversal of 414015552120 is 21255510414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058017 + ... + 1395503.

It is an arithmetic number, because the mean of its divisors is an integer number (19408934880).

Almost surely, 2^414015552120 is an apocalyptic number.

414015552120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414015552120 is an abundant number, since it is smaller than the sum of its proper divisors (828156280200).

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

414015552120 is a wasteful number, since it uses less digits than its factorization.

414015552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347724 (or 347720 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 414015552120 in words is "four hundred fourteen billion, fifteen million, five hundred fifty-two thousand, one hundred twenty".