13798679040 has 240 divisors, whose sum is σ = 47915658648. Its totient is φ = 3669884928.

The previous prime is 13798679039. The next prime is 13798679047. The reversal of 13798679040 is 4097689731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9862873344 + 3935805696 = 99312^2 + 62736^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (13798679047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14123032 + ... + 14124008.

Almost surely, 2^13798679040 is an apocalyptic number.

13798679040 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 13798679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23957829324).

13798679040 is an abundant number, since it is smaller than the sum of its proper divisors (34116979608).

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

13798679040 is an equidigital number, since it uses as much as digits as its factorization.

13798679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 13798679040 in words is "thirteen billion, seven hundred ninety-eight million, six hundred seventy-nine thousand, forty".