442431233040 has 80 divisors (see below), whose sum is σ = 1371664672128. Its totient is φ = 117970664448.

The previous prime is 442431232853. The next prime is 442431233051. The reversal of 442431233040 is 40332134244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442431232989 and 442431233007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2679109 + ... + 2839451.

Almost surely, 2^442431233040 is an apocalyptic number.

442431233040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442431233040 is an abundant number, since it is smaller than the sum of its proper divisors (929233439088).

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

442431233040 is a wasteful number, since it uses less digits than its factorization.

442431233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171856 (or 171850 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 442431233040 its reverse (40332134244), we get a palindrome (482763367284).

The spelling of 442431233040 in words is "four hundred forty-two billion, four hundred thirty-one million, two hundred thirty-three thousand, forty".