13798861440 has 256 divisors, whose sum is σ = 54134680320. Its totient is φ = 2911371264.

The previous prime is 13798861411. The next prime is 13798861441. The reversal of 13798861440 is 4416889731.

13798861440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13798861441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135232 + ... + 214208.

It is an arithmetic number, because the mean of its divisors is an integer number (211463595).

Almost surely, 2^13798861440 is an apocalyptic number.

13798861440 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 13798861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27067340160).

13798861440 is an abundant number, since it is smaller than the sum of its proper divisors (40335818880).

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

13798861440 is a wasteful number, since it uses less digits than its factorization.

13798861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79019 (or 79007 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 13798861440 in words is "thirteen billion, seven hundred ninety-eight million, eight hundred sixty-one thousand, four hundred forty".