442390515840 has 3072 divisors, whose sum is σ = 2193329664000. Its totient is φ = 81983176704.

The previous prime is 442390515839. The next prime is 442390515877. The reversal of 442390515840 is 48515093244.

442390515840 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 90 + 515 + 8 + 40 = 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 383 ways as a sum of consecutive naturals, for example, 6602843487 + ... + 6602843553.

It is an arithmetic number, because the mean of its divisors is an integer number (713974500).

Almost surely, 2^442390515840 is an apocalyptic number.

442390515840 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 442390515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096664832000).

442390515840 is an abundant number, since it is smaller than the sum of its proper divisors (1750939148160).

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

442390515840 is a wasteful number, since it uses less digits than its factorization.

442390515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 442390515840 in words is "four hundred forty-two billion, three hundred ninety million, five hundred fifteen thousand, eight hundred forty".