13122757440 has 336 divisors, whose sum is σ = 49927904208. Its totient is φ = 3142582272.

The previous prime is 13122757381. The next prime is 13122757463. The reversal of 13122757440 is 4475722131.

13122757440 is a `hidden beast` number, since 1 + 312 + 275 + 74 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 945193536 + 12177563904 = 30744^2 + 110352^2 .

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 = 13122757395 and 13122757404.

It is a congruent number.

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, 1380544 + ... + 1390016.

It is an arithmetic number, because the mean of its divisors is an integer number (148594953).

Almost surely, 2^13122757440 is an apocalyptic number.

13122757440 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 13122757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963952104).

13122757440 is an abundant number, since it is smaller than the sum of its proper divisors (36805146768).

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

13122757440 is a wasteful number, since it uses less digits than its factorization.

13122757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9546 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 13122757440 in words is "thirteen billion, one hundred twenty-two million, seven hundred fifty-seven thousand, four hundred forty".