115328940480 has 840 divisors, whose sum is σ = 462560468832. Its totient is φ = 27112402944.

The previous prime is 115328940479. The next prime is 115328940563. The reversal of 115328940480 is 84049823511.

115328940480 is a `hidden beast` number, since 1 + 1 + 53 + 2 + 89 + 40 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 178251517 + ... + 178252163.

Almost surely, 2^115328940480 is an apocalyptic number.

115328940480 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 115328940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231280234416).

115328940480 is an abundant number, since it is smaller than the sum of its proper divisors (347231528352).

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

115328940480 is a wasteful number, since it uses less digits than its factorization.

115328940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 115328940480 in words is "one hundred fifteen billion, three hundred twenty-eight million, nine hundred forty thousand, four hundred eighty".