442033431440 has 40 divisors (see below), whose sum is σ = 1027810406400. Its totient is φ = 176799148416.

The previous prime is 442033431403. The next prime is 442033431467. The reversal of 442033431440 is 44134330244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 442033431397 and 442033431406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808067 + ... + 1239773.

It is an arithmetic number, because the mean of its divisors is an integer number (25695260160).

Almost surely, 2^442033431440 is an apocalyptic number.

442033431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442033431440 is an abundant number, since it is smaller than the sum of its proper divisors (585776974960).

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

442033431440 is a wasteful number, since it uses less digits than its factorization.

442033431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444519 (or 444513 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 442033431440 its reverse (44134330244), we get a palindrome (486167761684).

The spelling of 442033431440 in words is "four hundred forty-two billion, thirty-three million, four hundred thirty-one thousand, four hundred forty".