414024122000 has 80 divisors (see below), whose sum is σ = 1018078588800. Its totient is φ = 162802659200.

The previous prime is 414024121991. The next prime is 414024122041. The reversal of 414024122000 is 221420414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636340 + ... + 1872339.

It is an arithmetic number, because the mean of its divisors is an integer number (12725982360).

Almost surely, 2^414024122000 is an apocalyptic number.

414024122000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414024122000 is an abundant number, since it is smaller than the sum of its proper divisors (604054466800).

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

414024122000 is a wasteful number, since it uses less digits than its factorization.

414024122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508761 (or 3508745 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 414024122000 its reverse (221420414), we get a palindrome (414245542414).

The spelling of 414024122000 in words is "four hundred fourteen billion, twenty-four million, one hundred twenty-two thousand".