109382041440 has 384 divisors, whose sum is σ = 446463360000. Its totient is φ = 25001270784.

The previous prime is 109382041423. The next prime is 109382041441. The reversal of 109382041440 is 44140283901.

It is a happy number.

109382041440 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 8 + 204 + 1 + 440 = 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 = 109382041395 and 109382041404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109382041441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1444851 + ... + 1518669.

It is an arithmetic number, because the mean of its divisors is an integer number (1162665000).

Almost surely, 2^109382041440 is an apocalyptic number.

109382041440 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 109382041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223231680000).

109382041440 is an abundant number, since it is smaller than the sum of its proper divisors (337081318560).

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

109382041440 is an equidigital number, since it uses as much as digits as its factorization.

109382041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73864 (or 73836 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 109382041440 in words is "one hundred nine billion, three hundred eighty-two million, forty-one thousand, four hundred forty".