13172490240 has 960 divisors, whose sum is σ = 56369725440. Its totient is φ = 2548039680.

The previous prime is 13172490223. The next prime is 13172490251. The reversal of 13172490240 is 4209427131.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424919025 + ... + 424919055.

It is an arithmetic number, because the mean of its divisors is an integer number (58718464).

Almost surely, 2^13172490240 is an apocalyptic number.

13172490240 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 13172490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28184862720).

13172490240 is an abundant number, since it is smaller than the sum of its proper divisors (43197235200).

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

13172490240 is a wasteful number, since it uses less digits than its factorization.

13172490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 13172490240 in words is "thirteen billion, one hundred seventy-two million, four hundred ninety thousand, two hundred forty".