442001112525 has 192 divisors, whose sum is σ = 970606448640. Its totient is φ = 192815251200.

The previous prime is 442001112523. The next prime is 442001112529. The reversal of 442001112525 is 525211100244.

It is a happy number.

442001112525 is a `hidden beast` number, since 4 + 4 + 20 + 0 + 1 + 112 + 525 = 666.

It is not a de Polignac number, because 442001112525 - 2¹ = 442001112523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442001112523) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 48138435 + ... + 48147615.

It is an arithmetic number, because the mean of its divisors is an integer number (5055241920).

Almost surely, 2^442001112525 is an apocalyptic number.

442001112525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442001112525 is an abundant number, since it is smaller than the sum of its proper divisors (528605336115).

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

442001112525 is a wasteful number, since it uses less digits than its factorization.

442001112525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 442001112525 its reverse (525211100244), we get a palindrome (967212212769).

The spelling of 442001112525 in words is "four hundred forty-two billion, one million, one hundred twelve thousand, five hundred twenty-five".