14312414000 has 160 divisors (see below), whose sum is σ = 35724499200. Its totient is φ = 5541811200.

The previous prime is 14312413949. The next prime is 14312414021. The reversal of 14312414000 is 41421341.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19905641 + ... + 19906359.

It is an arithmetic number, because the mean of its divisors is an integer number (223278120).

Almost surely, 2^14312414000 is an apocalyptic number.

14312414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14312414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862249600).

14312414000 is an abundant number, since it is smaller than the sum of its proper divisors (21412085200).

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

14312414000 is a wasteful number, since it uses less digits than its factorization.

14312414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14312414000 its reverse (41421341), we get a palindrome (14353835341).

The spelling of 14312414000 in words is "fourteen billion, three hundred twelve million, four hundred fourteen thousand".