442772642466 has 256 divisors, whose sum is σ = 1278208512000. Its totient is φ = 110237137920.

The previous prime is 442772642413. The next prime is 442772642467. The reversal of 442772642466 is 664246277244.

It is a super-2 number, since 2×442772642466² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (442772642467) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16747690 + ... + 16774106.

It is an arithmetic number, because the mean of its divisors is an integer number (4993002000).

Almost surely, 2^442772642466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442772642466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639104256000).

442772642466 is an abundant number, since it is smaller than the sum of its proper divisors (835435869534).

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

442772642466 is a wasteful number, since it uses less digits than its factorization.

442772642466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26614 (or 26608 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 442772642466 in words is "four hundred forty-two billion, seven hundred seventy-two million, six hundred forty-two thousand, four hundred sixty-six".