4200440240 has 40 divisors (see below), whose sum is σ = 10340498880. Its totient is φ = 1581341696.

The previous prime is 4200440213. The next prime is 4200440249. The reversal of 4200440240 is 420440024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×4200440240³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4200440249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1542920 + ... + 1545639.

It is an arithmetic number, because the mean of its divisors is an integer number (258512472).

Almost surely, 2^4200440240 is an apocalyptic number.

4200440240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200440240 is an abundant number, since it is smaller than the sum of its proper divisors (6140058640).

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

4200440240 is a wasteful number, since it uses less digits than its factorization.

4200440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088589 (or 3088583 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4200440240 is about 64810.8034204175. The cubic root of 4200440240 is about 1613.4850167397.

Adding to 4200440240 its reverse (420440024), we get a palindrome (4620880264).

The spelling of 4200440240 in words is "four billion, two hundred million, four hundred forty thousand, two hundred forty".