442323323323244 has 144 divisors (see below), whose sum is σ = 860829949056000. Its totient is φ = 198708541320960.

The previous prime is 442323323323223. The next prime is 442323323323261.

442323323323244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442323323323244² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 442323323323195 and 442323323323204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32796265469 + ... + 32796278955.

Almost surely, 2^{442323323323244} is an apocalyptic number.

442323323323244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442323323323244 is a deficient number, since it is larger than the sum of its proper divisors (418506625732756).

442323323323244 is a wasteful number, since it uses less digits than its factorization.

442323323323244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964 (or 15951 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 44.

The spelling of 442323323323244 in words is "four hundred forty-two trillion, three hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-three thousand, two hundred forty-four".