442344133103100 has 72 divisors (see below), whose sum is σ = 1279884797182320. Its totient is φ = 117955138529280.

The previous prime is 442344133103083. The next prime is 442344133103177. The reversal of 442344133103100 is 1301331443244.

It is a super-2 number, since 2×442344133103100² (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 23 ways as a sum of consecutive naturals, for example, 9845427 + ... + 31330826.

Almost surely, 2^{442344133103100} is an apocalyptic number.

It is an amenable number.

442344133103100 is an abundant number, since it is smaller than the sum of its proper divisors (837540664079220).

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

442344133103100 is a wasteful number, since it uses less digits than its factorization.

442344133103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41212079 (or 41212072 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 442344133103100 its reverse (1301331443244), we get a palindrome (443645464546344).

The spelling of 442344133103100 in words is "four hundred forty-two trillion, three hundred forty-four billion, one hundred thirty-three million, one hundred three thousand, one hundred".