442272437700 has 144 divisors (see below), whose sum is σ = 1294365072000. Its totient is φ = 116587330560.

The previous prime is 442272437681. The next prime is 442272437741. The reversal of 442272437700 is 7734272244.

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, 14339896 + ... + 14370704.

Almost surely, 2^442272437700 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 442272437700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647182536000).

442272437700 is an abundant number, since it is smaller than the sum of its proper divisors (852092634300).

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

442272437700 is a wasteful number, since it uses less digits than its factorization.

442272437700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31374 (or 31367 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 42.

The spelling of 442272437700 in words is "four hundred forty-two billion, two hundred seventy-two million, four hundred thirty-seven thousand, seven hundred".