13715994240 has 384 divisors, whose sum is σ = 51489481680. Its totient is φ = 3344302080.

The previous prime is 13715994233. The next prime is 13715994263. The reversal of 13715994240 is 4249951731.

13715994240 is a `hidden beast` number, since 1 + 37 + 1 + 599 + 4 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1480094784 + 12235899456 = 38472^2 + 110616^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 8460630 + ... + 8462250.

Almost surely, 2^13715994240 is an apocalyptic number.

13715994240 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 13715994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25744740840).

13715994240 is an abundant number, since it is smaller than the sum of its proper divisors (37773487440).

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

13715994240 is a wasteful number, since it uses less digits than its factorization.

13715994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

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

The spelling of 13715994240 in words is "thirteen billion, seven hundred fifteen million, nine hundred ninety-four thousand, two hundred forty".