107913069383040 has 448 divisors, whose sum is σ = 390407645990160. Its totient is φ = 28507863085056.

The previous prime is 107913069383011. The next prime is 107913069383117. The reversal of 107913069383040 is 40383960319701.

It is a happy number.

107913069383040 is a `hidden beast` number, since 1 + 0 + 79 + 130 + 69 + 383 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48841102 + ... + 51002738.

Almost surely, 2^{107913069383040} is an apocalyptic number.

107913069383040 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 107913069383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195203822995080).

107913069383040 is an abundant number, since it is smaller than the sum of its proper divisors (282494576607120).

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

107913069383040 is an equidigital number, since it uses as much as digits as its factorization.

107913069383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161781 (or 2161754 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 107913069383040 in words is "one hundred seven trillion, nine hundred thirteen billion, sixty-nine million, three hundred eighty-three thousand, forty".