442322020223244 has 108 divisors (see below), whose sum is σ = 1312792858979784. Its totient is φ = 125196619822848.

The previous prime is 442322020223221. The next prime is 442322020223261.

442322020223244 is a `hidden beast` number, since 4 + 4 + 2 + 322 + 0 + 2 + 0 + 2 + 2 + 324 + 4 = 666.

442322020223244 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 = 442322020223199 and 442322020223208.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1171537629 + ... + 1171915124.

It is an arithmetic number, because the mean of its divisors is an integer number (12155489434998).

Almost surely, 2^{442322020223244} is an apocalyptic number.

It is an amenable number.

442322020223244 is an abundant number, since it is smaller than the sum of its proper divisors (870470838756540).

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

442322020223244 is a wasteful number, since it uses less digits than its factorization.

442322020223244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343452884 (or 2343452872 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 442322020223244 in words is "four hundred forty-two trillion, three hundred twenty-two billion, twenty million, two hundred twenty-three thousand, two hundred forty-four".