13189693440 has 960 divisors, whose sum is σ = 57074347008. Its totient is φ = 2516582400.

The previous prime is 13189693421. The next prime is 13189693487. The reversal of 13189693440 is 4439698131.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13189693440.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3280 × 2992 × 1344.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321699820 + ... + 321699860.

Almost surely, 2^13189693440 is an apocalyptic number.

13189693440 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 13189693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28537173504).

13189693440 is an abundant number, since it is smaller than the sum of its proper divisors (43884653568).

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

13189693440 is a wasteful number, since it uses less digits than its factorization.

13189693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 13189693440 in words is "thirteen billion, one hundred eighty-nine million, six hundred ninety-three thousand, four hundred forty".