414015552121 has 16 divisors (see below), whose sum is σ = 444550579200. Its totient is φ = 384706929600.

The previous prime is 414015552113. The next prime is 414015552131. The reversal of 414015552121 is 121255510414.

It is a cyclic number.

It is not a de Polignac number, because 414015552121 - 2³ = 414015552113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414015552131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109461 + ... + 1434898.

It is an arithmetic number, because the mean of its divisors is an integer number (27784411200).

Almost surely, 2^414015552121 is an apocalyptic number.

It is an amenable number.

414015552121 is a deficient number, since it is larger than the sum of its proper divisors (30535027079).

414015552121 is a wasteful number, since it uses less digits than its factorization.

414015552121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544600.

The product of its (nonzero) digits is 8000, while the sum is 31.

The spelling of 414015552121 in words is "four hundred fourteen billion, fifteen million, five hundred fifty-two thousand, one hundred twenty-one".