13103677440 has 360 divisors, whose sum is σ = 51934384320. Its totient is φ = 2993946624.

The previous prime is 13103677429. The next prime is 13103677453. The reversal of 13103677440 is 4477630131.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13103677395 and 13103677404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5159691 + ... + 5162229.

Almost surely, 2^13103677440 is an apocalyptic number.

13103677440 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 13103677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25967192160).

13103677440 is an abundant number, since it is smaller than the sum of its proper divisors (38830706880).

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

13103677440 is an equidigital number, since it uses as much as digits as its factorization.

13103677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13103677440 in words is "thirteen billion, one hundred three million, six hundred seventy-seven thousand, four hundred forty".