13960085040 has 120 divisors (see below), whose sum is σ = 51144704208. Its totient is φ = 3384261120.

The previous prime is 13960085017. The next prime is 13960085081. The reversal of 13960085040 is 4058006931.

13960085040 is a `hidden beast` number, since 1 + 3 + 9 + 600 + 8 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13960084986 and 13960085004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873399 + ... + 889238.

Almost surely, 2^13960085040 is an apocalyptic number.

13960085040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13960085040 is an abundant number, since it is smaller than the sum of its proper divisors (37184619168).

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

13960085040 is a wasteful number, since it uses less digits than its factorization.

13960085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762667 (or 1762658 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13960085040 in words is "thirteen billion, nine hundred sixty million, eighty-five thousand, forty".