14630112400 has 60 divisors (see below), whose sum is σ = 35187976000. Its totient is φ = 5845530240.

The previous prime is 14630112359. The next prime is 14630112401. The reversal of 14630112400 is 421103641.

It is not an unprimeable number, because it can be changed into a prime (14630112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347701 + ... + 387499.

Almost surely, 2^14630112400 is an apocalyptic number.

14630112400 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 14630112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593988000).

14630112400 is an abundant number, since it is smaller than the sum of its proper divisors (20557863600).

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

14630112400 is a wasteful number, since it uses less digits than its factorization.

14630112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40736 (or 40725 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 14630112400 in words is "fourteen billion, six hundred thirty million, one hundred twelve thousand, four hundred".