14315090720 has 384 divisors, whose sum is σ = 42918543360. Its totient is φ = 4399349760.

The previous prime is 14315090701. The next prime is 14315090731. The reversal of 14315090720 is 2709051341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46628807 + ... + 46629113.

It is an arithmetic number, because the mean of its divisors is an integer number (111767040).

Almost surely, 2^14315090720 is an apocalyptic number.

14315090720 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 14315090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459271680).

14315090720 is an abundant number, since it is smaller than the sum of its proper divisors (28603452640).

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

14315090720 is a wasteful number, since it uses less digits than its factorization.

14315090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 14315090720 in words is "fourteen billion, three hundred fifteen million, ninety thousand, seven hundred twenty".