442260062244 has 432 divisors, whose sum is σ = 1547216536320. Its totient is φ = 104689428480.

The previous prime is 442260062221. The next prime is 442260062263.

442260062244 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 600 + 6 + 2 + 2 + 44 = 666.

442260062244 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 = 442260062199 and 442260062208.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19916812 + ... + 19939004.

It is an arithmetic number, because the mean of its divisors is an integer number (3581519760).

Almost surely, 2^442260062244 is an apocalyptic number.

442260062244 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 442260062244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773608268160).

442260062244 is an abundant number, since it is smaller than the sum of its proper divisors (1104956474076).

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

442260062244 is a wasteful number, since it uses less digits than its factorization.

442260062244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22320 (or 22308 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4422600 and 62244, that added together give a palindrome (4484844).

The spelling of 442260062244 in words is "four hundred forty-two billion, two hundred sixty million, sixty-two thousand, two hundred forty-four".