13198291840 has 128 divisors (see below), whose sum is σ = 32756296320. Its totient is φ = 5081579520.

The previous prime is 13198291823. The next prime is 13198291987. The reversal of 13198291840 is 4819289131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831284 + ... + 1838476.

It is an arithmetic number, because the mean of its divisors is an integer number (255908565).

Almost surely, 2^13198291840 is an apocalyptic number.

13198291840 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 13198291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378148160).

13198291840 is an abundant number, since it is smaller than the sum of its proper divisors (19558004480).

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

13198291840 is an equidigital number, since it uses as much as digits as its factorization.

13198291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

It can be divided in two parts, 13198291 and 840, that added together give a palindrome (13199131).

The spelling of 13198291840 in words is "thirteen billion, one hundred ninety-eight million, two hundred ninety-one thousand, eight hundred forty".