34100404320042 has 96 divisors (see below), whose sum is σ = 76673621606400. Its totient is φ = 10941682500000.

The previous prime is 34100404320023. The next prime is 34100404320049. The reversal of 34100404320042 is 24002340400143.

It is a happy number.

34100404320042 is a `hidden beast` number, since 3 + 4 + 10 + 0 + 404 + 3 + 200 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34100404319988 and 34100404320015.

It is not an unprimeable number, because it can be changed into a prime (34100404320049) 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, 105021459 + ... + 105345657.

It is an arithmetic number, because the mean of its divisors is an integer number (798683558400).

Almost surely, 2^{34100404320042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100404320042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38336810803200).

34100404320042 is an abundant number, since it is smaller than the sum of its proper divisors (42573217286358).

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

34100404320042 is a wasteful number, since it uses less digits than its factorization.

34100404320042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325240 (or 325237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34100404320042 its reverse (24002340400143), we get a palindrome (58102744720185).

The spelling of 34100404320042 in words is "thirty-four trillion, one hundred billion, four hundred four million, three hundred twenty thousand, forty-two".