14312430132000 has 1536 divisors, whose sum is σ = 64657338310656. Its totient is φ = 2670962688000.

The previous prime is 14312430131969. The next prime is 14312430132019. The reversal of 14312430132000 is 23103421341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 444427899 + ... + 444460101.

It is an arithmetic number, because the mean of its divisors is an integer number (42094621296).

Almost surely, 2^{14312430132000} is an apocalyptic number.

14312430132000 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 14312430132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32328669155328).

14312430132000 is an abundant number, since it is smaller than the sum of its proper divisors (50344908178656).

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

14312430132000 is a wasteful number, since it uses less digits than its factorization.

14312430132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32299 (or 32281 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14312430132000 its reverse (23103421341), we get a palindrome (14335533553341).

The spelling of 14312430132000 in words is "fourteen trillion, three hundred twelve billion, four hundred thirty million, one hundred thirty-two thousand".