14072952960 has 1280 divisors, whose sum is σ = 60781881600. Its totient is φ = 3065610240.

The previous prime is 14072952911. The next prime is 14072952961. The reversal of 14072952960 is 6925927041.

14072952960 is a `hidden beast` number, since 1 + 40 + 7 + 29 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14072952961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 380350062 + ... + 380350098.

It is an arithmetic number, because the mean of its divisors is an integer number (47485845).

Almost surely, 2^14072952960 is an apocalyptic number.

14072952960 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 14072952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30390940800).

14072952960 is an abundant number, since it is smaller than the sum of its proper divisors (46708928640).

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

14072952960 is a wasteful number, since it uses less digits than its factorization.

14072952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 14072952960 in words is "fourteen billion, seventy-two million, nine hundred fifty-two thousand, nine hundred sixty".