13442122240 has 160 divisors (see below), whose sum is σ = 33435110016. Its totient is φ = 5179146240.

The previous prime is 13442122193. The next prime is 13442122259. The reversal of 13442122240 is 4222124431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×13442122240⁴ (a number of 42 digits) contains 4444 as substring.

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, 8710909 + ... + 8712451.

Almost surely, 2^13442122240 is an apocalyptic number.

13442122240 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 13442122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717555008).

13442122240 is an abundant number, since it is smaller than the sum of its proper divisors (19992987776).

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

13442122240 is an equidigital number, since it uses as much as digits as its factorization.

13442122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 13442122240 its reverse (4222124431), we get a palindrome (17664246671).

The spelling of 13442122240 in words is "thirteen billion, four hundred forty-two million, one hundred twenty-two thousand, two hundred forty".