13097251440 has 960 divisors, whose sum is σ = 57423824640. Its totient is φ = 2601123840.

The previous prime is 13097251429. The next prime is 13097251441. The reversal of 13097251440 is 4415279031.

13097251440 is a `hidden beast` number, since 1 + 30 + 9 + 72 + 514 + 40 = 666.

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 = 13097251395 and 13097251404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13097251441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115904824 + ... + 115904936.

It is an arithmetic number, because the mean of its divisors is an integer number (59816484).

Almost surely, 2^13097251440 is an apocalyptic number.

13097251440 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 13097251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28711912320).

13097251440 is an abundant number, since it is smaller than the sum of its proper divisors (44326573200).

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

13097251440 is a wasteful number, since it uses less digits than its factorization.

13097251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13097251440 in words is "thirteen billion, ninety-seven million, two hundred fifty-one thousand, four hundred forty".