115402206240 has 144 divisors (see below), whose sum is σ = 394502524416. Its totient is φ = 30719808000.

The previous prime is 115402206229. The next prime is 115402206253. The reversal of 115402206240 is 42602204511.

115402206240 is a `hidden beast` number, since 1 + 1 + 540 + 2 + 20 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752065 + ... + 892415.

It is an arithmetic number, because the mean of its divisors is an integer number (2739600864).

Almost surely, 2^115402206240 is an apocalyptic number.

115402206240 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 115402206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197251262208).

115402206240 is an abundant number, since it is smaller than the sum of its proper divisors (279100318176).

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

115402206240 is a wasteful number, since it uses less digits than its factorization.

115402206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140943 (or 140932 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 115402206240 in words is "one hundred fifteen billion, four hundred two million, two hundred six thousand, two hundred forty".