442190615958 has 192 divisors, whose sum is σ = 1221170356224. Its totient is φ = 112492800000.

The previous prime is 442190615921. The next prime is 442190616001. The reversal of 442190615958 is 859516091244.

442190615958 is a `hidden beast` number, since 4 + 4 + 2 + 19 + 0 + 615 + 9 + 5 + 8 = 666.

It is a congruent 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, 15777958 + ... + 15805958.

It is an arithmetic number, because the mean of its divisors is an integer number (6360262272).

Almost surely, 2^442190615958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442190615958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610585178112).

442190615958 is an abundant number, since it is smaller than the sum of its proper divisors (778979740266).

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

442190615958 is a wasteful number, since it uses less digits than its factorization.

442190615958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28371 (or 28368 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 442190615958 in words is "four hundred forty-two billion, one hundred ninety million, six hundred fifteen thousand, nine hundred fifty-eight".