109808047440 has 960 divisors, whose sum is σ = 478165824000. Its totient is φ = 23141873664.

The previous prime is 109808047439. The next prime is 109808047451. The reversal of 109808047440 is 44740808901.

109808047440 is a `hidden beast` number, since 1 + 0 + 98 + 0 + 80 + 47 + 440 = 666.

109808047440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 125208282 + ... + 125209158.

It is an arithmetic number, because the mean of its divisors is an integer number (498089400).

Almost surely, 2^109808047440 is an apocalyptic number.

109808047440 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 109808047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239082912000).

109808047440 is an abundant number, since it is smaller than the sum of its proper divisors (368357776560).

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

109808047440 is a wasteful number, since it uses less digits than its factorization.

109808047440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 109808047440 in words is "one hundred nine billion, eight hundred eight million, forty-seven thousand, four hundred forty".