115611431040 has 576 divisors, whose sum is σ = 488864376000. Its totient is φ = 25033494528.

The previous prime is 115611431003. The next prime is 115611431053. The reversal of 115611431040 is 40134116511.

115611431040 is a `hidden beast` number, since 1 + 1 + 5 + 611 + 4 + 3 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 115611430995 and 115611431013.

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, 5351781 + ... + 5373339.

It is an arithmetic number, because the mean of its divisors is an integer number (848722875).

Almost surely, 2^115611431040 is an apocalyptic number.

115611431040 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 115611431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244432188000).

115611431040 is an abundant number, since it is smaller than the sum of its proper divisors (373252944960).

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

115611431040 is a wasteful number, since it uses less digits than its factorization.

115611431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21617 (or 21595 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 115611431040 its reverse (40134116511), we get a palindrome (155745547551).

The spelling of 115611431040 in words is "one hundred fifteen billion, six hundred eleven million, four hundred thirty-one thousand, forty".