13990338880 has 280 divisors, whose sum is σ = 39443009760. Its totient is φ = 4725826560.

The previous prime is 13990338871. The next prime is 13990338883. The reversal of 13990338880 is 8883309931.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13990338883) 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 39 ways as a sum of consecutive naturals, for example, 100649851 + ... + 100649989.

It is an arithmetic number, because the mean of its divisors is an integer number (140867892).

Almost surely, 2^13990338880 is an apocalyptic number.

13990338880 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 13990338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721504880).

13990338880 is an abundant number, since it is smaller than the sum of its proper divisors (25452670880).

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

13990338880 is an equidigital number, since it uses as much as digits as its factorization.

13990338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 13990338880 in words is "thirteen billion, nine hundred ninety million, three hundred thirty-eight thousand, eight hundred eighty".