4109322240 has 384 divisors, whose sum is σ = 14859936000. Its totient is φ = 1077018624.

The previous prime is 4109322199. The next prime is 4109322251. The reversal of 4109322240 is 422239014.

4109322240 is a `hidden beast` number, since 410 + 9 + 3 + 2 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24606637 + ... + 24606803.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 2^4109322240 is an apocalyptic number.

4109322240 is a gapful number since it is divisible by the number (40) 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 4109322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968000).

4109322240 is an abundant number, since it is smaller than the sum of its proper divisors (10750613760).

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

4109322240 is a wasteful number, since it uses less digits than its factorization.

4109322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4109322240 is about 64103.9955073005. The cubic root of 4109322240 is about 1601.7327893898.

The spelling of 4109322240 in words is "four billion, one hundred nine million, three hundred twenty-two thousand, two hundred forty".