13856855040 has 1188 divisors, whose sum is σ = 62414397396. Its totient is φ = 2824077312.

The previous prime is 13856855039. The next prime is 13856855053. The reversal of 13856855040 is 4055865831.

13856855040 is a `hidden beast` number, since 1 + 3 + 8 + 56 + 8 + 550 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7988069376 + 5868785664 = 89376^2 + 76608^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 729308151 + ... + 729308169.

Almost surely, 2^13856855040 is an apocalyptic number.

13856855040 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 13856855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207198698).

13856855040 is an abundant number, since it is smaller than the sum of its proper divisors (48557542356).

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

13856855040 is a wasteful number, since it uses less digits than its factorization.

13856855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 13856855040 in words is "thirteen billion, eight hundred fifty-six million, eight hundred fifty-five thousand, forty".