442434020400112 has 80 divisors (see below), whose sum is σ = 930764062099872. Its totient is φ = 202519221166080.

The previous prime is 442434020400101. The next prime is 442434020400143. The reversal of 442434020400112 is 211004020434244.

It is a happy number.

It is a super-2 number, since 2×442434020400112² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40250328 + ... + 50049544.

Almost surely, 2^{442434020400112} 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 442434020400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465382031049936).

442434020400112 is an abundant number, since it is smaller than the sum of its proper divisors (488330041699760).

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

442434020400112 is a wasteful number, since it uses less digits than its factorization.

442434020400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9801026 (or 9801020 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 442434020400112 its reverse (211004020434244), we get a palindrome (653438040834356).

The spelling of 442434020400112 in words is "four hundred forty-two trillion, four hundred thirty-four billion, twenty million, four hundred thousand, one hundred twelve".