442311241120 has 48 divisors (see below), whose sum is σ = 1194240354048. Its totient is φ = 151649568000.

The previous prime is 442311241103. The next prime is 442311241157. The reversal of 442311241120 is 21142113244.

It is a super-2 number, since 2×442311241120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197459256 + ... + 197461495.

It is an arithmetic number, because the mean of its divisors is an integer number (24880007376).

Almost surely, 2^442311241120 is an apocalyptic number.

442311241120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442311241120 is an abundant number, since it is smaller than the sum of its proper divisors (751929112928).

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

442311241120 is a wasteful number, since it uses less digits than its factorization.

442311241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394920773 (or 394920765 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 442311241120 its reverse (21142113244), we get a palindrome (463453354364).

The spelling of 442311241120 in words is "four hundred forty-two billion, three hundred eleven million, two hundred forty-one thousand, one hundred twenty".