13700377440 has 72 divisors (see below), whose sum is σ = 46752542928. Its totient is φ = 3653433600.

The previous prime is 13700377423. The next prime is 13700377451. The reversal of 13700377440 is 4477300731.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 13700377395 and 13700377404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4755636 + ... + 4758515.

It is an arithmetic number, because the mean of its divisors is an integer number (649340874).

Almost surely, 2^13700377440 is an apocalyptic number.

13700377440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13700377440 is an abundant number, since it is smaller than the sum of its proper divisors (33052165488).

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

13700377440 is a wasteful number, since it uses less digits than its factorization.

13700377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514172 (or 9514161 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 13700377440 in words is "thirteen billion, seven hundred million, three hundred seventy-seven thousand, four hundred forty".