442019375616 has 1440 divisors, whose sum is σ = 1639052236800. Its totient is φ = 105066823680.

The previous prime is 442019375599. The next prime is 442019375641. The reversal of 442019375616 is 616573910244.

It is a super-2 number, since 2×442019375616² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7491853795 + ... + 7491853853.

It is an arithmetic number, because the mean of its divisors is an integer number (1138230720).

Almost surely, 2^442019375616 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 442019375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819526118400).

442019375616 is an abundant number, since it is smaller than the sum of its proper divisors (1197032861184).

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

442019375616 is a wasteful number, since it uses less digits than its factorization.

442019375616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 442019375616 in words is "four hundred forty-two billion, nineteen million, three hundred seventy-five thousand, six hundred sixteen".