442440132400332 has 216 divisors, whose sum is σ = 1302631227097200. Its totient is φ = 125545588869120.

The previous prime is 442440132400319. The next prime is 442440132400333. The reversal of 442440132400332 is 233004231044244.

442440132400332 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 401 + 3 + 240 + 0 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442440132400333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12733294 + ... + 32357642.

It is an arithmetic number, because the mean of its divisors is an integer number (6030700125450).

Almost surely, 2^{442440132400332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442440132400332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651315613548600).

442440132400332 is an abundant number, since it is smaller than the sum of its proper divisors (860191094696868).

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

442440132400332 is a wasteful number, since it uses less digits than its factorization.

442440132400332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624601 (or 19624579 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 442440132400332 its reverse (233004231044244), we get a palindrome (675444363444576).

The spelling of 442440132400332 in words is "four hundred forty-two trillion, four hundred forty billion, one hundred thirty-two million, four hundred thousand, three hundred thirty-two".