34113134140400 has 60 divisors (see below), whose sum is σ = 93664919747472. Its totient is φ = 11695931704320.

The previous prime is 34113134140321. The next prime is 34113134140417. The reversal of 34113134140400 is 404143131143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6091628297 + ... + 6091633896.

Almost surely, 2^{34113134140400} is an apocalyptic number.

It is an amenable number.

34113134140400 is an abundant number, since it is smaller than the sum of its proper divisors (59551785607072).

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

34113134140400 is a wasteful number, since it uses less digits than its factorization.

34113134140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12183262218 (or 12183262207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34113134140400 its reverse (404143131143), we get a palindrome (34517277271543).

The spelling of 34113134140400 in words is "thirty-four trillion, one hundred thirteen billion, one hundred thirty-four million, one hundred forty thousand, four hundred".