8109541440 has 1344 divisors, whose sum is σ = 39142172160. Its totient is φ = 1486356480.

The previous prime is 8109541393. The next prime is 8109541481. The reversal of 8109541440 is 441459018.

8109541440 is a `hidden beast` number, since 8 + 109 + 541 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 8109541395 and 8109541404.

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, 83603472 + ... + 83603568.

It is an arithmetic number, because the mean of its divisors is an integer number (29123640).

Almost surely, 2^8109541440 is an apocalyptic number.

8109541440 is a gapful number since it is divisible by the number (80) 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 8109541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571086080).

8109541440 is an abundant number, since it is smaller than the sum of its proper divisors (31032630720).

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

8109541440 is a wasteful number, since it uses less digits than its factorization.

8109541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8109541440 is about 90052.9923989203. The cubic root of 8109541440 is about 2009.0871030812.

The spelling of 8109541440 in words is "eight billion, one hundred nine million, five hundred forty-one thousand, four hundred forty".