442004000331 has 16 divisors (see below), whose sum is σ = 611259494688. Its totient is φ = 283866624000.

The previous prime is 442004000323. The next prime is 442004000353. The reversal of 442004000331 is 133000400244.

It is not a de Polignac number, because 442004000331 - 2³ = 442004000323 is a prime.

It is a super-2 number, since 2×442004000331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442004000298 and 442004000307.

It is not an unprimeable number, because it can be changed into a prime (442004000131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19701750 + ... + 19724171.

It is an arithmetic number, because the mean of its divisors is an integer number (38203718418).

Almost surely, 2^442004000331 is an apocalyptic number.

442004000331 is a deficient number, since it is larger than the sum of its proper divisors (169255494357).

442004000331 is a wasteful number, since it uses less digits than its factorization.

442004000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39426062.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 442004000331 its reverse (133000400244), we get a palindrome (575004400575).

The spelling of 442004000331 in words is "four hundred forty-two billion, four million, three hundred thirty-one", and thus it is an aban number.