14400479010960 has 1280 divisors, whose sum is σ = 59712978124800. Its totient is φ = 3121730648064.

The previous prime is 14400479010923. The next prime is 14400479010971. The reversal of 14400479010960 is 6901097400441.

14400479010960 is a `hidden beast` number, since 1 + 440 + 0 + 47 + 9 + 0 + 109 + 60 = 666.

14400479010960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3183831259 + ... + 3183835781.

It is an arithmetic number, because the mean of its divisors is an integer number (46650764160).

Almost surely, 2^{14400479010960} is an apocalyptic number.

14400479010960 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 14400479010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29856489062400).

14400479010960 is an abundant number, since it is smaller than the sum of its proper divisors (45312499113840).

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

14400479010960 is a wasteful number, since it uses less digits than its factorization.

14400479010960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14400479010960 in words is "fourteen trillion, four hundred billion, four hundred seventy-nine million, ten thousand, nine hundred sixty".