320134006040442 has 128 divisors (see below), whose sum is σ = 754768744627968. Its totient is φ = 89432039424000.

The previous prime is 320134006040393. The next prime is 320134006040467. The reversal of 320134006040442 is 244040600431023.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31260298 + ... + 40217834.

It is an arithmetic number, because the mean of its divisors is an integer number (5896630817406).

Almost surely, 2^{320134006040442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320134006040442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377384372313984).

320134006040442 is an abundant number, since it is smaller than the sum of its proper divisors (434634738587526).

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

320134006040442 is a wasteful number, since it uses less digits than its factorization.

320134006040442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958224.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 320134006040442 its reverse (244040600431023), we get a palindrome (564174606471465).

The spelling of 320134006040442 in words is "three hundred twenty trillion, one hundred thirty-four billion, six million, forty thousand, four hundred forty-two".