414304311320 has 32 divisors (see below), whose sum is σ = 937065265920. Its totient is φ = 164854068480.

The previous prime is 414304311319. The next prime is 414304311329. The reversal of 414304311320 is 23113403414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414304311320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414304311329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27106517 + ... + 27121796.

It is an arithmetic number, because the mean of its divisors is an integer number (29283289560).

Almost surely, 2^414304311320 is an apocalyptic number.

414304311320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414304311320 is an abundant number, since it is smaller than the sum of its proper divisors (522760954600).

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

414304311320 is a wasteful number, since it uses less digits than its factorization.

414304311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54228515 (or 54228511 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 414304311320 its reverse (23113403414), we get a palindrome (437417714734).

The spelling of 414304311320 in words is "four hundred fourteen billion, three hundred four million, three hundred eleven thousand, three hundred twenty".