442634436244 has 288 divisors, whose sum is σ = 1116051471360. Its totient is φ = 148720665600.

The previous prime is 442634436197. The next prime is 442634436253.

442634436244 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 442634436194 and 442634436203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72193059 + ... + 72199189.

It is an arithmetic number, because the mean of its divisors is an integer number (3875178720).

Almost surely, 2^442634436244 is an apocalyptic number.

442634436244 is a gapful number since it is divisible by the number (44) 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 442634436244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558025735680).

442634436244 is an abundant number, since it is smaller than the sum of its proper divisors (673417035116).

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

442634436244 is a wasteful number, since it uses less digits than its factorization.

442634436244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6256 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 442634 and 436244, that added together give a palindrome (878878).

The spelling of 442634436244 in words is "four hundred forty-two billion, six hundred thirty-four million, four hundred thirty-six thousand, two hundred forty-four".