442420511130000 has 300 divisors, whose sum is σ = 1666224470290380. Its totient is φ = 108903510144000.

The previous prime is 442420511129929. The next prime is 442420511130061. The reversal of 442420511130000 is 31115024244.

442420511130000 is a `hidden beast` number, since 4 + 4 + 242 + 0 + 5 + 111 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 442418386657536 + 2124472464 = 21033744^2 + 46092^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 187898595 + ... + 190238594.

Almost surely, 2^{442420511130000} is an apocalyptic number.

442420511130000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442420511130000 is an abundant number, since it is smaller than the sum of its proper divisors (1223803959160380).

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

442420511130000 is a wasteful number, since it uses less digits than its factorization.

442420511130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378137236 (or 378137212 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 442420511130000 its reverse (31115024244), we get a palindrome (442451626154244).

The spelling of 442420511130000 in words is "four hundred forty-two trillion, four hundred twenty billion, five hundred eleven million, one hundred thirty thousand".