13420142304 has 96 divisors (see below), whose sum is σ = 37656347904. Its totient is φ = 4174494720.

The previous prime is 13420142293. The next prime is 13420142311. The reversal of 13420142304 is 40324102431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13420142304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16407 + ... + 164649.

It is an arithmetic number, because the mean of its divisors is an integer number (392253624).

Almost surely, 2^13420142304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828173952).

13420142304 is an abundant number, since it is smaller than the sum of its proper divisors (24236205600).

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

13420142304 is a wasteful number, since it uses less digits than its factorization.

13420142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148320 (or 148312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13420142304 its reverse (40324102431), we get a palindrome (53744244735).

The spelling of 13420142304 in words is "thirteen billion, four hundred twenty million, one hundred forty-two thousand, three hundred four".