13972074480 has 640 divisors, whose sum is σ = 61169418240. Its totient is φ = 2851614720.

The previous prime is 13972074469. The next prime is 13972074481. The reversal of 13972074480 is 8447027931.

13972074480 is a `hidden beast` number, since 1 + 39 + 72 + 0 + 74 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972074481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6092214 + ... + 6094506.

It is an arithmetic number, because the mean of its divisors is an integer number (95577216).

Almost surely, 2^13972074480 is an apocalyptic number.

13972074480 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 13972074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30584709120).

13972074480 is an abundant number, since it is smaller than the sum of its proper divisors (47197343760).

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

13972074480 is a wasteful number, since it uses less digits than its factorization.

13972074480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13972074480 in words is "thirteen billion, nine hundred seventy-two million, seventy-four thousand, four hundred eighty".