414024122001 has 16 divisors (see below), whose sum is σ = 631656797184. Its totient is φ = 236299126224.

The previous prime is 414024121991. The next prime is 414024122041. The reversal of 414024122001 is 100221420414.

It is not a de Polignac number, because 414024122001 - 2¹⁰ = 414024120977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414024122041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11902485 + ... + 11937218.

It is an arithmetic number, because the mean of its divisors is an integer number (39478549824).

Almost surely, 2^414024122001 is an apocalyptic number.

It is an amenable number.

414024122001 is a deficient number, since it is larger than the sum of its proper divisors (217632675183).

414024122001 is a wasteful number, since it uses less digits than its factorization.

414024122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23840540.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 414024122001 its reverse (100221420414), we get a palindrome (514245542415).

The spelling of 414024122001 in words is "four hundred fourteen billion, twenty-four million, one hundred twenty-two thousand, one".