442660337000 has 128 divisors (see below), whose sum is σ = 1188521268480. Its totient is φ = 151164000000.

The previous prime is 442660336957. The next prime is 442660337011. The reversal of 442660337000 is 733066244.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 1631030 + ... + 1882970.

It is an arithmetic number, because the mean of its divisors is an integer number (9285322410).

Almost surely, 2^442660337000 is an apocalyptic number.

442660337000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442660337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594260634240).

442660337000 is an abundant number, since it is smaller than the sum of its proper divisors (745860931480).

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

442660337000 is a wasteful number, since it uses less digits than its factorization.

442660337000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252220 (or 252206 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 442660337000 in words is "four hundred forty-two billion, six hundred sixty million, three hundred thirty-seven thousand".