442033042431400 has 288 divisors, whose sum is σ = 1247587037087040. Its totient is φ = 144954532208640.

The previous prime is 442033042431391. The next prime is 442033042431413. The reversal of 442033042431400 is 4134240330244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3561934152 + ... + 3562058248.

It is an arithmetic number, because the mean of its divisors is an integer number (4331899434330).

Almost surely, 2^{442033042431400} is an apocalyptic number.

442033042431400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442033042431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623793518543520).

442033042431400 is an abundant number, since it is smaller than the sum of its proper divisors (805553994655640).

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

442033042431400 is a wasteful number, since it uses less digits than its factorization.

442033042431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139953 (or 139937 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 442033042431400 its reverse (4134240330244), we get a palindrome (446167282761644).

The spelling of 442033042431400 in words is "four hundred forty-two trillion, thirty-three billion, forty-two million, four hundred thirty-one thousand, four hundred".