442115135331 has 16 divisors (see below), whose sum is σ = 626205254400. Its totient is φ = 276668859168.

The previous prime is 442115135323. The next prime is 442115135359. The reversal of 442115135331 is 133531511244.

It is not a de Polignac number, because 442115135331 - 2³ = 442115135323 is a prime.

It is a super-2 number, since 2×442115135331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442115135292 and 442115135301.

It is not an unprimeable number, because it can be changed into a prime (442115135311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35573631 + ... + 35586056.

It is an arithmetic number, because the mean of its divisors is an integer number (39137828400).

Almost surely, 2^442115135331 is an apocalyptic number.

442115135331 is a deficient number, since it is larger than the sum of its proper divisors (184090119069).

442115135331 is a wasteful number, since it uses less digits than its factorization.

442115135331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71159818.

The product of its digits is 21600, while the sum is 33.

Adding to 442115135331 its reverse (133531511244), we get a palindrome (575646646575).

The spelling of 442115135331 in words is "four hundred forty-two billion, one hundred fifteen million, one hundred thirty-five thousand, three hundred thirty-one".