442152898560 has 1040 divisors, whose sum is σ = 1664685893376. Its totient is φ = 112163291136.

The previous prime is 442152898519. The next prime is 442152898609. The reversal of 442152898560 is 65898251244.

442152898560 is a `hidden beast` number, since 4 + 4 + 21 + 52 + 8 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 442152898497 and 442152898506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4132270027 + ... + 4132270133.

Almost surely, 2^442152898560 is an apocalyptic number.

442152898560 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 442152898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832342946688).

442152898560 is an abundant number, since it is smaller than the sum of its proper divisors (1222532994816).

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

442152898560 is a wasteful number, since it uses less digits than its factorization.

442152898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 442152898560 in words is "four hundred forty-two billion, one hundred fifty-two million, eight hundred ninety-eight thousand, five hundred sixty".