4005004200 has 48 divisors (see below), whose sum is σ = 12415514880. Its totient is φ = 1068000960.

The previous prime is 4005004169. The next prime is 4005004231. The reversal of 4005004200 is 24005004.

It is an interprime number because it is at equal distance from previous prime (4005004169) and next prime (4005004231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4005004200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3336904 + ... + 3338103.

It is an arithmetic number, because the mean of its divisors is an integer number (258656560).

Almost surely, 2^4005004200 is an apocalyptic number.

4005004200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005004200 is an abundant number, since it is smaller than the sum of its proper divisors (8410510680).

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

4005004200 is a wasteful number, since it uses less digits than its factorization.

4005004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675026 (or 6675017 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4005004200 is about 63285.1025123607. The cubic root of 4005004200 is about 1588.0627488016.

Adding to 4005004200 its reverse (24005004), we get a palindrome (4029009204).

The spelling of 4005004200 in words is "four billion, five million, four thousand, two hundred".