320142126414 has 64 divisors (see below), whose sum is σ = 708524236800. Its totient is φ = 95620140000.

The previous prime is 320142126397. The next prime is 320142126443. The reversal of 320142126414 is 414621241023.

It is a super-2 number, since 2×320142126414² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 23193487 + ... + 23207285.

It is an arithmetic number, because the mean of its divisors is an integer number (11070691200).

Almost surely, 2^320142126414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320142126414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354262118400).

320142126414 is an abundant number, since it is smaller than the sum of its proper divisors (388382110386).

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

320142126414 is a wasteful number, since it uses less digits than its factorization.

320142126414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18837.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 320142126414 its reverse (414621241023), we get a palindrome (734763367437).

The spelling of 320142126414 in words is "three hundred twenty billion, one hundred forty-two million, one hundred twenty-six thousand, four hundred fourteen".