109856107440 has 400 divisors, whose sum is σ = 387866603520. Its totient is φ = 28814123520.

The previous prime is 109856107433. The next prime is 109856107453. The reversal of 109856107440 is 44701658901.

109856107440 is a `hidden beast` number, since 10 + 9 + 8 + 561 + 0 + 74 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107807251 + ... + 107808269.

Almost surely, 2^109856107440 is an apocalyptic number.

109856107440 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 109856107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193933301760).

109856107440 is an abundant number, since it is smaller than the sum of its proper divisors (278010496080).

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

109856107440 is a wasteful number, since it uses less digits than its factorization.

109856107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 109856107440 in words is "one hundred nine billion, eight hundred fifty-six million, one hundred seven thousand, four hundred forty".