14424297000960 has 832 divisors, whose sum is σ = 60925363605504. Its totient is φ = 2820931584000.

The previous prime is 14424297000947. The next prime is 14424297000983. The reversal of 14424297000960 is 6900079242441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80335285 + ... + 80514635.

Almost surely, 2^{14424297000960} is an apocalyptic number.

14424297000960 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 14424297000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30462681802752).

14424297000960 is an abundant number, since it is smaller than the sum of its proper divisors (46501066604544).

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

14424297000960 is a wasteful number, since it uses less digits than its factorization.

14424297000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179418 (or 179396 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 14424297000960 in words is "fourteen trillion, four hundred twenty-four billion, two hundred ninety-seven million, nine hundred sixty", and thus it is an aban number.