107308800815040 has 672 divisors, whose sum is σ = 418913905213440. Its totient is φ = 24976827187200.

The previous prime is 107308800815033. The next prime is 107308800815063. The reversal of 107308800815040 is 40518008803701.

It is a happy number.

107308800815040 is a `hidden beast` number, since 107 + 30 + 8 + 8 + 0 + 0 + 8 + 1 + 504 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124293976 + ... + 125154344.

It is an arithmetic number, because the mean of its divisors is an integer number (623383787520).

Almost surely, 2^{107308800815040} is an apocalyptic number.

107308800815040 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 107308800815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209456952606720).

107308800815040 is an abundant number, since it is smaller than the sum of its proper divisors (311605104398400).

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

107308800815040 is a wasteful number, since it uses less digits than its factorization.

107308800815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860561 (or 860548 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 107308800815040 in words is "one hundred seven trillion, three hundred eight billion, eight hundred million, eight hundred fifteen thousand, forty".