442420024020113 has 16 divisors (see below), whose sum is σ = 453265930026000. Its totient is φ = 431666733738240.

The previous prime is 442420024020067. The next prime is 442420024020251. The reversal of 442420024020113 is 311020420024244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39055900278784 + 403364123741329 = 6249472^2 + 20083927^2 .

It is a cyclic number.

It is not a de Polignac number, because 442420024020113 - 2¹⁰ = 442420024019089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442420024020713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593520563 + ... + 594265511.

It is an arithmetic number, because the mean of its divisors is an integer number (28329120626625).

Almost surely, 2^{442420024020113} is an apocalyptic number.

It is an amenable number.

442420024020113 is a deficient number, since it is larger than the sum of its proper divisors (10845906005887).

442420024020113 is a wasteful number, since it uses less digits than its factorization.

442420024020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807092.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 442420024020113 its reverse (311020420024244), we get a palindrome (753440444044357).

The spelling of 442420024020113 in words is "four hundred forty-two trillion, four hundred twenty billion, twenty-four million, twenty thousand, one hundred thirteen".