4200440004 has 30 divisors (see below), whose sum is σ = 10980780734. Its totient is φ = 1400146560.

The previous prime is 4200440003. The next prime is 4200440039. The reversal of 4200440004 is 4000440024.

It is a happy number.

4200440004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2687385600 + 1513054404 = 51840^2 + 38898^2 .

It is a super-3 number, since 3×4200440004³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4200440003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6481837 + ... + 6482484.

Almost surely, 2^4200440004 is an apocalyptic number.

It is an amenable number.

4200440004 is an abundant number, since it is smaller than the sum of its proper divisors (6780340730).

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

4200440004 is a wasteful number, since it uses less digits than its factorization.

4200440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12964337 (or 12964326 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4200440004 is about 64810.8015997334. The cubic root of 4200440004 is about 1613.4849865220.

Adding to 4200440004 its reverse (4000440024), we get a palindrome (8200880028).

The spelling of 4200440004 in words is "four billion, two hundred million, four hundred forty thousand, four".