442531323135244 has 144 divisors (see below), whose sum is σ = 989568590411520. Its totient is φ = 171852445860480.

The previous prime is 442531323135233. The next prime is 442531323135259.

442531323135244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442531323135244³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 442531323135194 and 442531323135203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567890054 + ... + 1568172274.

It is an arithmetic number, because the mean of its divisors is an integer number (6872004100080).

Almost surely, 2^{442531323135244} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442531323135244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494784295205760).

442531323135244 is an abundant number, since it is smaller than the sum of its proper divisors (547037267276276).

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

442531323135244 is a wasteful number, since it uses less digits than its factorization.

442531323135244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300588 (or 300579 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 46.

The spelling of 442531323135244 in words is "four hundred forty-two trillion, five hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-five thousand, two hundred forty-four".