442205250245250 has 128 divisors (see below), whose sum is σ = 1114530911470080. Its totient is φ = 116769129984000.

The previous prime is 442205250245201. The next prime is 442205250245267. The reversal of 442205250245250 is 52542052502244.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276692090 + ... + 1277038410.

It is an arithmetic number, because the mean of its divisors is an integer number (8707272745860).

Almost surely, 2^{442205250245250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442205250245250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557265455735040).

442205250245250 is an abundant number, since it is smaller than the sum of its proper divisors (672325661224830).

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

442205250245250 is a wasteful number, since it uses less digits than its factorization.

442205250245250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362973 (or 362963 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 42.

The spelling of 442205250245250 in words is "four hundred forty-two trillion, two hundred five billion, two hundred fifty million, two hundred forty-five thousand, two hundred fifty".