115669981440 has 1296 divisors, whose sum is σ = 472652107200. Its totient is φ = 26016546816.

The previous prime is 115669981433. The next prime is 115669981447. The reversal of 115669981440 is 44189966511.

115669981440 = T₂₇₈₅₆ + T₂₇₈₅₇ + ... + T₂₈₁₅₀.

115669981440 is a `hidden beast` number, since 1 + 1 + 56 + 69 + 98 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (115669981433) and next prime (115669981447).

It is not an unprimeable number, because it can be changed into a prime (115669981447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1960508131 + ... + 1960508189.

It is an arithmetic number, because the mean of its divisors is an integer number (364700700).

Almost surely, 2^115669981440 is an apocalyptic number.

115669981440 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 115669981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236326053600).

115669981440 is an abundant number, since it is smaller than the sum of its proper divisors (356982125760).

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

115669981440 is a wasteful number, since it uses less digits than its factorization.

115669981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 115669981440 in words is "one hundred fifteen billion, six hundred sixty-nine million, nine hundred eighty-one thousand, four hundred forty".