14400128160000 has 1800 divisors, whose sum is σ = 59287771265184. Its totient is φ = 3446046720000.

The previous prime is 14400128159993. The next prime is 14400128160029. The reversal of 14400128160000 is 6182100441.

It is a happy number.

14400128160000 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 12 + 8 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 11832479392 + ... + 11832480608.

Almost surely, 2^{14400128160000} is an apocalyptic number.

14400128160000 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 14400128160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29643885632592).

14400128160000 is an abundant number, since it is smaller than the sum of its proper divisors (44887643105184).

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

14400128160000 is an equidigital number, since it uses as much as digits as its factorization.

14400128160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 14400128160000 in words is "fourteen trillion, four hundred billion, one hundred twenty-eight million, one hundred sixty thousand".