442720086948048 has 640 divisors, whose sum is σ = 1517101854822400. Its totient is φ = 107976896004096.

The previous prime is 442720086948037. The next prime is 442720086948053. The reversal of 442720086948048 is 840849680027244.

It is a self number, because there is not a number n which added to its sum of digits gives 442720086948048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5913225558 + ... + 5913300426.

It is an arithmetic number, because the mean of its divisors is an integer number (2370471648160).

Almost surely, 2^{442720086948048} is an apocalyptic number.

442720086948048 is a gapful number since it is divisible by the number (48) 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 442720086948048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758550927411200).

442720086948048 is an abundant number, since it is smaller than the sum of its proper divisors (1074381767874352).

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

442720086948048 is a wasteful number, since it uses less digits than its factorization.

442720086948048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76619 (or 76613 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 66.

The spelling of 442720086948048 in words is "four hundred forty-two trillion, seven hundred twenty billion, eighty-six million, nine hundred forty-eight thousand, forty-eight".