115340430000 has 400 divisors, whose sum is σ = 379907390720. Its totient is φ = 30139776000.

The previous prime is 115340429987. The next prime is 115340430001. The reversal of 115340430000 is 34043511.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (115340430001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 503669886 + ... + 503670114.

Almost surely, 2^115340430000 is an apocalyptic number.

115340430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115340430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189953695360).

115340430000 is an abundant number, since it is smaller than the sum of its proper divisors (264566960720).

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

115340430000 is a wasteful number, since it uses less digits than its factorization.

115340430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 115340430000 its reverse (34043511), we get a palindrome (115374473511).

The spelling of 115340430000 in words is "one hundred fifteen billion, three hundred forty million, four hundred thirty thousand".