115640420645040 has 320 divisors, whose sum is σ = 371143919173632. Its totient is φ = 29754484531200.

The previous prime is 115640420645039. The next prime is 115640420645059. The reversal of 115640420645040 is 40546024046511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 115640420644983 and 115640420645001.

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, 8013326625 + ... + 8013341055.

Almost surely, 2^{115640420645040} is an apocalyptic number.

115640420645040 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 115640420645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185571959586816).

115640420645040 is an abundant number, since it is smaller than the sum of its proper divisors (255503498528592).

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

115640420645040 is a wasteful number, since it uses less digits than its factorization.

115640420645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17588 (or 17582 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 115640420645040 in words is "one hundred fifteen trillion, six hundred forty billion, four hundred twenty million, six hundred forty-five thousand, forty".