13426442240 has 240 divisors, whose sum is σ = 35331738624. Its totient is φ = 4875878400.

The previous prime is 13426442233. The next prime is 13426442261. The reversal of 13426442240 is 4224462431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13426442197 and 13426442206.

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, 43171685 + ... + 43171995.

Almost surely, 2^13426442240 is an apocalyptic number.

13426442240 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 13426442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665869312).

13426442240 is an abundant number, since it is smaller than the sum of its proper divisors (21905296384).

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

13426442240 is an equidigital number, since it uses as much as digits as its factorization.

13426442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 13426442240 in words is "thirteen billion, four hundred twenty-six million, four hundred forty-two thousand, two hundred forty".