442200140402013 has 48 divisors (see below), whose sum is σ = 730522365580800. Its totient is φ = 252498499430400.

The previous prime is 442200140401883. The next prime is 442200140402017. The reversal of 442200140402013 is 310204041002244.

442200140402013 is a `hidden beast` number, since 4 + 4 + 2 + 200 + 1 + 40 + 402 + 0 + 13 = 666.

It is not a de Polignac number, because 442200140402013 - 2¹⁴ = 442200140385629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442200140402017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879173083 + ... + 879675911.

It is an arithmetic number, because the mean of its divisors is an integer number (15219215949600).

Almost surely, 2^{442200140402013} is an apocalyptic number.

It is an amenable number.

442200140402013 is a deficient number, since it is larger than the sum of its proper divisors (288322225178787).

442200140402013 is a wasteful number, since it uses less digits than its factorization.

442200140402013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513162 (or 513159 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442200140402013 its reverse (310204041002244), we get a palindrome (752404181404257).

The spelling of 442200140402013 in words is "four hundred forty-two trillion, two hundred billion, one hundred forty million, four hundred two thousand, thirteen".