442401222104244 has 216 divisors, whose sum is σ = 1223026894908000. Its totient is φ = 134764022764800.

The previous prime is 442401222104239. The next prime is 442401222104269.

442401222104244 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 0 + 1 + 2 + 221 + 0 + 424 + 4 = 666.

442401222104244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442401222104199 and 442401222104208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9400967187 + ... + 9401014245.

It is an arithmetic number, because the mean of its divisors is an integer number (5662161550500).

Almost surely, 2^{442401222104244} 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 442401222104244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611513447454000).

442401222104244 is an abundant number, since it is smaller than the sum of its proper divisors (780625672803756).

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

442401222104244 is a wasteful number, since it uses less digits than its factorization.

442401222104244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62495 (or 62477 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 442401222104244 in words is "four hundred forty-two trillion, four hundred one billion, two hundred twenty-two million, one hundred four thousand, two hundred forty-four".