414024012311 has 48 divisors (see below), whose sum is σ = 525690224640. Its totient is φ = 323173126080.

The previous prime is 414024012257. The next prime is 414024012433. The reversal of 414024012311 is 113210420414.

It is not a de Polignac number, because 414024012311 - 2²⁶ = 413956903447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414024015311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14466626 + ... + 14495216.

It is an arithmetic number, because the mean of its divisors is an integer number (10951879680).

Almost surely, 2^414024012311 is an apocalyptic number.

414024012311 is a deficient number, since it is larger than the sum of its proper divisors (111666212329).

414024012311 is a wasteful number, since it uses less digits than its factorization.

414024012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28924 (or 28917 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414024012311 its reverse (113210420414), we get a palindrome (527234432725).

The spelling of 414024012311 in words is "four hundred fourteen billion, twenty-four million, twelve thousand, three hundred eleven".