342001013332041 has 128 divisors (see below), whose sum is σ = 584439178752000. Its totient is φ = 193617424604160.

The previous prime is 342001013332021. The next prime is 342001013332087. The reversal of 342001013332041 is 140233310100243.

It is a happy number.

342001013332041 is a `hidden beast` number, since 3 + 4 + 20 + 0 + 101 + 333 + 204 + 1 = 666.

It is not a de Polignac number, because 342001013332041 - 2¹⁰ = 342001013331017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342001013331996 and 342001013332014.

It is not an unprimeable number, because it can be changed into a prime (342001013332021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21016461681 + ... + 21016477953.

It is an arithmetic number, because the mean of its divisors is an integer number (4565931084000).

Almost surely, 2^{342001013332041} is an apocalyptic number.

It is an amenable number.

342001013332041 is a deficient number, since it is larger than the sum of its proper divisors (242438165419959).

342001013332041 is a wasteful number, since it uses less digits than its factorization.

342001013332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18316 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 342001013332041 its reverse (140233310100243), we get a palindrome (482234323432284).

The spelling of 342001013332041 in words is "three hundred forty-two trillion, one billion, thirteen million, three hundred thirty-two thousand, forty-one".