14400255168 has 280 divisors, whose sum is σ = 46423338192. Its totient is φ = 4387239936.

The previous prime is 14400255119. The next prime is 14400255193. The reversal of 14400255168 is 86155200441.

It is a happy number.

14400255168 is a `hidden beast` number, since 1 + 4 + 40 + 0 + 2 + 551 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7209946 + ... + 7211942.

Almost surely, 2^14400255168 is an apocalyptic number.

14400255168 is a gapful number since it is divisible by the number (18) 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 14400255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23211669096).

14400255168 is an abundant number, since it is smaller than the sum of its proper divisors (32023083024).

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

14400255168 is a wasteful number, since it uses less digits than its factorization.

14400255168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 14400255168 in words is "fourteen billion, four hundred million, two hundred fifty-five thousand, one hundred sixty-eight".