442133426565500 has 96 divisors (see below), whose sum is σ = 1022932562520960. Its totient is φ = 166366874649600.

The previous prime is 442133426565451. The next prime is 442133426565529. The reversal of 442133426565500 is 5565624331244.

It is a super-2 number, since 2×442133426565500² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3951041 + ... + 29997959.

It is an arithmetic number, because the mean of its divisors is an integer number (10655547526260).

Almost surely, 2^{442133426565500} 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 442133426565500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511466281260480).

442133426565500 is an abundant number, since it is smaller than the sum of its proper divisors (580799135955460).

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

442133426565500 is a wasteful number, since it uses less digits than its factorization.

442133426565500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26048952 (or 26048940 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 50.

The spelling of 442133426565500 in words is "four hundred forty-two trillion, one hundred thirty-three billion, four hundred twenty-six million, five hundred sixty-five thousand, five hundred".