442310024231000 has 64 divisors (see below), whose sum is σ = 1035085096805760. Its totient is φ = 176910396000000.

The previous prime is 442310024230999. The next prime is 442310024231021. The reversal of 442310024231000 is 132420013244.

It is a super-2 number, since 2×442310024231000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009616 + ... + 30011615.

It is an arithmetic number, because the mean of its divisors is an integer number (16173204637590).

Almost surely, 2^{442310024231000} is an apocalyptic number.

442310024231000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442310024231000 is an abundant number, since it is smaller than the sum of its proper divisors (592775072574760).

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

442310024231000 is a wasteful number, since it uses less digits than its factorization.

442310024231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34034253 (or 34034239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 442310024231000 its reverse (132420013244), we get a palindrome (442442444244244).

The spelling of 442310024231000 in words is "four hundred forty-two trillion, three hundred ten billion, twenty-four million, two hundred thirty-one thousand".