4210004240 has 80 divisors (see below), whose sum is σ = 10904770800. Its totient is φ = 1500850176.

The previous prime is 4210004231. The next prime is 4210004299. The reversal of 4210004240 is 424000124.

It can be written as a sum of positive squares in 8 ways, for example, as 10445824 + 4199558416 = 3232^2 + 64804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39635 + ... + 99954.

It is an arithmetic number, because the mean of its divisors is an integer number (136309635).

Almost surely, 2^4210004240 is an apocalyptic number.

4210004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4210004240 is an abundant number, since it is smaller than the sum of its proper divisors (6694766560).

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

4210004240 is a wasteful number, since it uses less digits than its factorization.

4210004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139644 (or 139638 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4210004240 is about 64884.5454634615. The cubic root of 4210004240 is about 1614.7086720944.

Adding to 4210004240 its reverse (424000124), we get a palindrome (4634004364).

The spelling of 4210004240 in words is "four billion, two hundred ten million, four thousand, two hundred forty".