34412430114042 has 256 divisors, whose sum is σ = 77385539911680. Its totient is φ = 10152438912000.

The previous prime is 34412430113987. The next prime is 34412430114077. The reversal of 34412430114042 is 24041103421443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34412430113994 and 34412430114012.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6087460488 + ... + 6087466140.

It is an arithmetic number, because the mean of its divisors is an integer number (302287265280).

Almost surely, 2^{34412430114042} is an apocalyptic number.

34412430114042 is an abundant number, since it is smaller than the sum of its proper divisors (42973109797638).

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

34412430114042 is a wasteful number, since it uses less digits than its factorization.

34412430114042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 34412430114042 its reverse (24041103421443), we get a palindrome (58453533535485).

The spelling of 34412430114042 in words is "thirty-four trillion, four hundred twelve billion, four hundred thirty million, one hundred fourteen thousand, forty-two".