34114541331040 has 48 divisors (see below), whose sum is σ = 80643209735088. Its totient is φ = 13637756284416.

The previous prime is 34114541331007. The next prime is 34114541331043. The reversal of 34114541331040 is 4013314541143.

It is a junction number, because it is equal to n+sod(n) for n = 34114541330987 and 34114541331005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114541331043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62698962 + ... + 63240721.

It is an arithmetic number, because the mean of its divisors is an integer number (1680066869481).

Almost surely, 2^{34114541331040} is an apocalyptic number.

It is an amenable number.

34114541331040 is an abundant number, since it is smaller than the sum of its proper divisors (46528668404048).

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

34114541331040 is a wasteful number, since it uses less digits than its factorization.

34114541331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125941391 (or 125941383 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 34114541331040 its reverse (4013314541143), we get a palindrome (38127855872183).

The spelling of 34114541331040 in words is "thirty-four trillion, one hundred fourteen billion, five hundred forty-one million, three hundred thirty-one thousand, forty".