4109797224 has 192 divisors, whose sum is σ = 12711988800. Its totient is φ = 1222957440.

The previous prime is 4109797187. The next prime is 4109797249. The reversal of 4109797224 is 4227979014.

It is a happy number.

4109797224 is a `hidden beast` number, since 410 + 9 + 7 + 9 + 7 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4109797224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697727 + ... + 2699249.

It is an arithmetic number, because the mean of its divisors is an integer number (66208275).

Almost surely, 2^4109797224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109797224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355994400).

4109797224 is an abundant number, since it is smaller than the sum of its proper divisors (8602191576).

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

4109797224 is a wasteful number, since it uses less digits than its factorization.

4109797224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4109797224 is about 64107.7001927226. The cubic root of 4109797224 is about 1601.7945001450.

The spelling of 4109797224 in words is "four billion, one hundred nine million, seven hundred ninety-seven thousand, two hundred twenty-four".