115727741062440 has 256 divisors, whose sum is σ = 377765909740800. Its totient is φ = 28191753216000.

The previous prime is 115727741062421. The next prime is 115727741062463. The reversal of 115727741062440 is 44260147727511.

It is a super-2 number, since 2×115727741062440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343154700 + ... + 343491780.

It is an arithmetic number, because the mean of its divisors is an integer number (1475648084925).

Almost surely, 2^{115727741062440} is an apocalyptic number.

115727741062440 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 115727741062440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188882954870400).

115727741062440 is an abundant number, since it is smaller than the sum of its proper divisors (262038168678360).

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

115727741062440 is a wasteful number, since it uses less digits than its factorization.

115727741062440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339388 (or 339384 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

Adding to 115727741062440 its reverse (44260147727511), we get a palindrome (159987888789951).

The spelling of 115727741062440 in words is "one hundred fifteen trillion, seven hundred twenty-seven billion, seven hundred forty-one million, sixty-two thousand, four hundred forty".