442077730560 has 576 divisors, whose sum is σ = 1609036800000. Its totient is φ = 116336922624.

The previous prime is 442077730559. The next prime is 442077730583. The reversal of 442077730560 is 65037770244.

442077730560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221148441 + ... + 221150439.

Almost surely, 2^442077730560 is an apocalyptic number.

442077730560 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 442077730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804518400000).

442077730560 is an abundant number, since it is smaller than the sum of its proper divisors (1166959069440).

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

442077730560 is an frugal number, since it uses more digits than its factorization.

442077730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 442077730560 in words is "four hundred forty-two billion, seventy-seven million, seven hundred thirty thousand, five hundred sixty".