442794240000 has 2160 divisors, whose sum is σ = 2042239399200. Its totient is φ = 90243072000.

The previous prime is 442794239999. The next prime is 442794240037. The reversal of 442794240000 is 42497244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23304959991 + ... + 23304960009.

Almost surely, 2^442794240000 is an apocalyptic number.

442794240000 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 442794240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021119699600).

442794240000 is an abundant number, since it is smaller than the sum of its proper divisors (1599445159200).

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

442794240000 is a wasteful number, since it uses less digits than its factorization.

442794240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 442794240000 in words is "four hundred forty-two billion, seven hundred ninety-four million, two hundred forty thousand".