442440012300 has 288 divisors, whose sum is σ = 1518541140480. Its totient is φ = 98045337600.

The previous prime is 442440012293. The next prime is 442440012347. The reversal of 442440012300 is 3210044244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4368636 + ... + 4468764.

Almost surely, 2^442440012300 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 442440012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759270570240).

442440012300 is an abundant number, since it is smaller than the sum of its proper divisors (1076101128180).

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

442440012300 is a wasteful number, since it uses less digits than its factorization.

442440012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100273 (or 100266 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 442440012300 its reverse (3210044244), we get a palindrome (445650056544).

The spelling of 442440012300 in words is "four hundred forty-two billion, four hundred forty million, twelve thousand, three hundred".