34142113410400 has 36 divisors (see below), whose sum is σ = 83349434365092. Its totient is φ = 13656845363840.

The previous prime is 34142113410323. The next prime is 34142113410403. The reversal of 34142113410400 is 401431124143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142113410403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21338820082 + ... + 21338821681.

It is an arithmetic number, because the mean of its divisors is an integer number (2315262065697).

Almost surely, 2^{34142113410400} is an apocalyptic number.

It is an amenable number.

34142113410400 is an abundant number, since it is smaller than the sum of its proper divisors (49207320954692).

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

34142113410400 is a wasteful number, since it uses less digits than its factorization.

34142113410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42677641783 (or 42677641770 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34142113410400 its reverse (401431124143), we get a palindrome (34543544534543).

The spelling of 34142113410400 in words is "thirty-four trillion, one hundred forty-two billion, one hundred thirteen million, four hundred ten thousand, four hundred".