4210545040 has 120 divisors (see below), whose sum is σ = 11199986280. Its totient is φ = 1463107584.

The previous prime is 4210545037. The next prime is 4210545043. The reversal of 4210545040 is 405450124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4210545037) and next prime (4210545043).

It can be written as a sum of positive squares in 12 ways, for example, as 182358016 + 4028187024 = 13504^2 + 63468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4210544996 and 4210545014.

It is not an unprimeable number, because it can be changed into a prime (4210545043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293556 + ... + 307564.

It is an arithmetic number, because the mean of its divisors is an integer number (93333219).

Almost surely, 2^4210545040 is an apocalyptic number.

4210545040 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 4210545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599993140).

4210545040 is an abundant number, since it is smaller than the sum of its proper divisors (6989441240).

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

4210545040 is a wasteful number, since it uses less digits than its factorization.

4210545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14069 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4210545040 is about 64888.7127318766. The cubic root of 4210545040 is about 1614.7778087676. Note that the first 3 decimals are identical.

Adding to 4210545040 its reverse (405450124), we get a palindrome (4615995164).

The spelling of 4210545040 in words is "four billion, two hundred ten million, five hundred forty-five thousand, forty".