107444413440 has 1584 divisors, whose sum is σ = 484332121728. Its totient is φ = 22359048192.

The previous prime is 107444413369. The next prime is 107444413441. The reversal of 107444413440 is 44314444701.

107444413440 is a `hidden beast` number, since 10 + 74 + 444 + 134 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107444413395 and 107444413404.

It is not an unprimeable number, because it can be changed into a prime (107444413441) 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, 1471841244 + ... + 1471841316.

Almost surely, 2^107444413440 is an apocalyptic number.

107444413440 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 107444413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242166060864).

107444413440 is an abundant number, since it is smaller than the sum of its proper divisors (376887708288).

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

107444413440 is an equidigital number, since it uses as much as digits as its factorization.

107444413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 107444413440 in words is "one hundred seven billion, four hundred forty-four million, four hundred thirteen thousand, four hundred forty".