442040412414024 has 192 divisors, whose sum is σ = 1294290425376000. Its totient is φ = 135816026572800.

The previous prime is 442040412413953. The next prime is 442040412414037. The reversal of 442040412414024 is 420414214040244.

442040412414024 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 4 + 0 + 4 + 1 + 241 + 402 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442040412414024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4127731872 + ... + 4127838960.

It is an arithmetic number, because the mean of its divisors is an integer number (6741095965500).

Almost surely, 2^{442040412414024} 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 442040412414024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647145212688000).

442040412414024 is an abundant number, since it is smaller than the sum of its proper divisors (852250012961976).

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

442040412414024 is a wasteful number, since it uses less digits than its factorization.

442040412414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188708 (or 188701 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 442040412414024 its reverse (420414214040244), we get a palindrome (862454626454268).

The spelling of 442040412414024 in words is "four hundred forty-two trillion, forty billion, four hundred twelve million, four hundred fourteen thousand, twenty-four".