442000145277200 has 120 divisors (see below), whose sum is σ = 1062835752525000. Its totient is φ = 176645173985280.

The previous prime is 442000145277199. The next prime is 442000145277259. The reversal of 442000145277200 is 2772541000244.

It can be written as a sum of positive squares in 12 ways, for example, as 127626133504 + 441872519143696 = 357248^2 + 21020764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9107184134 + ... + 9107232666.

It is an arithmetic number, because the mean of its divisors is an integer number (8856964604375).

Almost surely, 2^{442000145277200} is an apocalyptic number.

442000145277200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442000145277200 is an abundant number, since it is smaller than the sum of its proper divisors (620835607247800).

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

442000145277200 is a wasteful number, since it uses less digits than its factorization.

442000145277200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68029 (or 68018 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

Adding to 442000145277200 its reverse (2772541000244), we get a palindrome (444772686277444).

The spelling of 442000145277200 in words is "four hundred forty-two trillion, one hundred forty-five million, two hundred seventy-seven thousand, two hundred".