4105057320 has 1008 divisors, whose sum is σ = 18469754460. Its totient is φ = 815173632.

The previous prime is 4105057289. The next prime is 4105057351. The reversal of 4105057320 is 237505014.

It is a happy number.

4105057320 is a `hidden beast` number, since 41 + 0 + 50 + 573 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4105057289) and next prime (4105057351).

It can be written as a sum of positive squares in 6 ways, for example, as 847159236 + 3257898084 = 29106^2 + 57078^2 .

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 251 ways as a sum of consecutive naturals, for example, 241473952 + ... + 241473968.

Almost surely, 2^4105057320 is an apocalyptic number.

4105057320 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 4105057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234877230).

4105057320 is an abundant number, since it is smaller than the sum of its proper divisors (14364697140).

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

4105057320 is a wasteful number, since it uses less digits than its factorization.

4105057320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4105057320 is about 64070.7212383316. The cubic root of 4105057320 is about 1601.1784703334.

The spelling of 4105057320 in words is "four billion, one hundred five million, fifty-seven thousand, three hundred twenty".