13700777257440 has 480 divisors, whose sum is σ = 59510560697280. Its totient is φ = 2890713194496.

The previous prime is 13700777257403. The next prime is 13700777257493. The reversal of 13700777257440 is 4475277700731.

13700777257440 is a `hidden beast` number, since 13 + 7 + 0 + 0 + 77 + 72 + 57 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13700777257440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4629205 + ... + 6987924.

It is an arithmetic number, because the mean of its divisors is an integer number (123980334786).

Almost surely, 2^{13700777257440} is an apocalyptic number.

13700777257440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13700777257440 is an abundant number, since it is smaller than the sum of its proper divisors (45809783439840).

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

13700777257440 is a wasteful number, since it uses less digits than its factorization.

13700777257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617176 (or 11617159 counting only the distinct ones).

The product of its (nonzero) digits is 8067360, while the sum is 54.

The spelling of 13700777257440 in words is "thirteen trillion, seven hundred billion, seven hundred seventy-seven million, two hundred fifty-seven thousand, four hundred forty".