13426414080 has 320 divisors, whose sum is σ = 44175922560. Its totient is φ = 3477602304.

The previous prime is 13426414069. The next prime is 13426414103. The reversal of 13426414080 is 8041462431.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49912186 + ... + 49912454.

It is an arithmetic number, because the mean of its divisors is an integer number (138049758).

Almost surely, 2^13426414080 is an apocalyptic number.

13426414080 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 13426414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087961280).

13426414080 is an abundant number, since it is smaller than the sum of its proper divisors (30749508480).

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

13426414080 is an equidigital number, since it uses as much as digits as its factorization.

13426414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 13426414080 in words is "thirteen billion, four hundred twenty-six million, four hundred fourteen thousand, eighty".