442760401152 has 1008 divisors, whose sum is σ = 1495948003200. Its totient is φ = 130069463040.

The previous prime is 442760401151. The next prime is 442760401169. The reversal of 442760401152 is 251104067244.

442760401152 is a `hidden beast` number, since 4 + 42 + 7 + 60 + 401 + 152 = 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 (442760401151) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4974835924 + ... + 4974836012.

It is an arithmetic number, because the mean of its divisors is an integer number (1484075400).

Almost surely, 2^442760401152 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 442760401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747974001600).

442760401152 is an abundant number, since it is smaller than the sum of its proper divisors (1053187602048).

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

442760401152 is an equidigital number, since it uses as much as digits as its factorization.

442760401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 442760401152 its reverse (251104067244), we get a palindrome (693864468396).

The spelling of 442760401152 in words is "four hundred forty-two billion, seven hundred sixty million, four hundred one thousand, one hundred fifty-two".