107707041444240 has 720 divisors, whose sum is σ = 451861012437120. Its totient is φ = 23323013406720.

The previous prime is 107707041444229. The next prime is 107707041444241. The reversal of 107707041444240 is 42444140707701.

107707041444240 is a `hidden beast` number, since 10 + 7 + 7 + 0 + 70 + 4 + 144 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107707041444241) 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, 69037600 + ... + 70580480.

It is an arithmetic number, because the mean of its divisors is an integer number (627584739496).

Almost surely, 2^{107707041444240} is an apocalyptic number.

107707041444240 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 107707041444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225930506218560).

107707041444240 is an abundant number, since it is smaller than the sum of its proper divisors (344153970992880).

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

107707041444240 is an equidigital number, since it uses as much as digits as its factorization.

107707041444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542944 (or 1542917 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 107707041444240 in words is "one hundred seven trillion, seven hundred seven billion, forty-one million, four hundred forty-four thousand, two hundred forty".