14400072960 has 864 divisors, whose sum is σ = 59818886400. Its totient is φ = 2933489664.

The previous prime is 14400072937. The next prime is 14400072991. The reversal of 14400072960 is 6927000441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 496554226 + ... + 496554254.

Almost surely, 2^14400072960 is an apocalyptic number.

14400072960 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 14400072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29909443200).

14400072960 is an abundant number, since it is smaller than the sum of its proper divisors (45418813440).

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

14400072960 is an equidigital number, since it uses as much as digits as its factorization.

14400072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 14400072960 in words is "fourteen billion, four hundred million, seventy-two thousand, nine hundred sixty".