442058492160 has 216 divisors, whose sum is σ = 1578815556864. Its totient is φ = 114079518720.

The previous prime is 442058492137. The next prime is 442058492177. The reversal of 442058492160 is 61294850244.

It is a happy number.

442058492160 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 584 + 9 + 2 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261802 + ... + 976041.

Almost surely, 2^442058492160 is an apocalyptic number.

442058492160 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 442058492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789407778432).

442058492160 is an abundant number, since it is smaller than the sum of its proper divisors (1136757064704).

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

442058492160 is a wasteful number, since it uses less digits than its factorization.

442058492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237901 (or 1237884 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 442058492160 in words is "four hundred forty-two billion, fifty-eight million, four hundred ninety-two thousand, one hundred sixty".