442052112414500 has 192 divisors, whose sum is σ = 1152176857767936. Its totient is φ = 144865040918400.

The previous prime is 442052112414491. The next prime is 442052112414667. The reversal of 442052112414500 is 5414211250244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108034967 + ... + 112052033.

It is an arithmetic number, because the mean of its divisors is an integer number (6000921134208).

Almost surely, 2^{442052112414500} 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 442052112414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576088428883968).

442052112414500 is an abundant number, since it is smaller than the sum of its proper divisors (710124745353436).

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

442052112414500 is a wasteful number, since it uses less digits than its factorization.

442052112414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018483 (or 4018471 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 442052112414500 its reverse (5414211250244), we get a palindrome (447466323664744).

The spelling of 442052112414500 in words is "four hundred forty-two trillion, fifty-two billion, one hundred twelve million, four hundred fourteen thousand, five hundred".