442330114115442 has 128 divisors (see below), whose sum is σ = 1063917418696704. Its totient is φ = 119946047332608.

The previous prime is 442330114115437. The next prime is 442330114115459. The reversal of 442330114115442 is 244511411033244.

It is a self number, because there is not a number n which added to its sum of digits gives 442330114115442.

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, 46212043 + ... + 54956465.

It is an arithmetic number, because the mean of its divisors is an integer number (8311854833568).

Almost surely, 2^{442330114115442} is an apocalyptic number.

442330114115442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442330114115442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531958709348352).

442330114115442 is an abundant number, since it is smaller than the sum of its proper divisors (621587304581262).

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

442330114115442 is a wasteful number, since it uses less digits than its factorization.

442330114115442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745272.

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 442330114115442 its reverse (244511411033244), we get a palindrome (686841525148686).

The spelling of 442330114115442 in words is "four hundred forty-two trillion, three hundred thirty billion, one hundred fourteen million, one hundred fifteen thousand, four hundred forty-two".