13601293440 has 256 divisors, whose sum is σ = 50063166720. Its totient is φ = 3076521984.

The previous prime is 13601293429. The next prime is 13601293463. The reversal of 13601293440 is 4439210631.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1298464 + ... + 1308896.

It is an arithmetic number, because the mean of its divisors is an integer number (195559245).

Almost surely, 2^13601293440 is an apocalyptic number.

13601293440 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 13601293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031583360).

13601293440 is an abundant number, since it is smaller than the sum of its proper divisors (36461873280).

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

13601293440 is a wasteful number, since it uses less digits than its factorization.

13601293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 13601293440 in words is "thirteen billion, six hundred one million, two hundred ninety-three thousand, four hundred forty".