14290074462720 has 1280 divisors, whose sum is σ = 53928580349952. Its totient is φ = 3161294438400.

The previous prime is 14290074462683. The next prime is 14290074462733. The reversal of 14290074462720 is 2726447009241.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14290074462720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85569308077 + ... + 85569308243.

Almost surely, 2^{14290074462720} is an apocalyptic number.

14290074462720 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 14290074462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26964290174976).

14290074462720 is an abundant number, since it is smaller than the sum of its proper divisors (39638505887232).

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

14290074462720 is a wasteful number, since it uses less digits than its factorization.

14290074462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 14290074462720 in words is "fourteen trillion, two hundred ninety billion, seventy-four million, four hundred sixty-two thousand, seven hundred twenty".