34204412405142 has 144 divisors (see below), whose sum is σ = 91332166273920. Its totient is φ = 9192589088256.

The previous prime is 34204412405113. The next prime is 34204412405171. The reversal of 34204412405142 is 24150421440243.

34204412405142 is a `hidden beast` number, since 3 + 4 + 204 + 4 + 1 + 2 + 405 + 1 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (34204412405113) and next prime (34204412405171).

It is a junction number, because it is equal to n+sod(n) for n = 34204412405097 and 34204412405106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25726008 + ... + 27022884.

It is an arithmetic number, because the mean of its divisors is an integer number (634251154680).

Almost surely, 2^{34204412405142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34204412405142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45666083136960).

34204412405142 is an abundant number, since it is smaller than the sum of its proper divisors (57127753868778).

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

34204412405142 is a wasteful number, since it uses less digits than its factorization.

34204412405142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298675 (or 1298665 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 34204412405142 its reverse (24150421440243), we get a palindrome (58354833845385).

The spelling of 34204412405142 in words is "thirty-four trillion, two hundred four billion, four hundred twelve million, four hundred five thousand, one hundred forty-two".