334142441400042 has 48 divisors (see below), whose sum is σ = 789798526620480. Its totient is φ = 101254349184000.

The previous prime is 334142441400017. The next prime is 334142441400043. The reversal of 334142441400042 is 240004144241433.

334142441400042 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 4 + 244 + 1 + 400 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×334142441400042² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334142441400043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13821667 + ... + 29314217.

It is an arithmetic number, because the mean of its divisors is an integer number (16454135971260).

Almost surely, 2^{334142441400042} is an apocalyptic number.

334142441400042 is an abundant number, since it is smaller than the sum of its proper divisors (455656085220438).

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

334142441400042 is a wasteful number, since it uses less digits than its factorization.

334142441400042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15601499 (or 15601496 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 334142441400042 its reverse (240004144241433), we get a palindrome (574146585641475).

The spelling of 334142441400042 in words is "three hundred thirty-four trillion, one hundred forty-two billion, four hundred forty-one million, four hundred thousand, forty-two".