13920157440 has 432 divisors, whose sum is σ = 56098381248. Its totient is φ = 3120758784.

The previous prime is 13920157439. The next prime is 13920157469. The reversal of 13920157440 is 4475102931.

13920157440 is a `hidden beast` number, since 1 + 3 + 9 + 201 + 5 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13920157395 and 13920157404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4272292 + ... + 4275548.

It is an arithmetic number, because the mean of its divisors is an integer number (129857364).

Almost surely, 2^13920157440 is an apocalyptic number.

13920157440 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 13920157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28049190624).

13920157440 is an abundant number, since it is smaller than the sum of its proper divisors (42178223808).

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

13920157440 is a wasteful number, since it uses less digits than its factorization.

13920157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13920157440 in words is "thirteen billion, nine hundred twenty million, one hundred fifty-seven thousand, four hundred forty".