442515146112 has 768 divisors, whose sum is σ = 1509475968000. Its totient is φ = 127919554560.

The previous prime is 442515146009. The next prime is 442515146113. The reversal of 442515146112 is 211641515244.

442515146112 is a `hidden beast` number, since 4 + 4 + 25 + 1 + 5 + 14 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442515146113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1836162312 + ... + 1836162552.

It is an arithmetic number, because the mean of its divisors is an integer number (1965463500).

Almost surely, 2^442515146112 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 442515146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754737984000).

442515146112 is an abundant number, since it is smaller than the sum of its proper divisors (1066960821888).

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

442515146112 is a wasteful number, since it uses less digits than its factorization.

442515146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 517 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 442515146112 in words is "four hundred forty-two billion, five hundred fifteen million, one hundred forty-six thousand, one hundred twelve".