4003200000 has 396 divisors, whose sum is σ = 14551959240. Its totient is φ = 1059840000.

The previous prime is 4003199983. The next prime is 4003200011. The reversal of 4003200000 is 23004.

It is a super-2 number, since 2×4003200000² = 32051220480000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 28799931 + ... + 28800069.

Almost surely, 2^4003200000 is an apocalyptic number.

4003200000 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 4003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275979620).

4003200000 is an abundant number, since it is smaller than the sum of its proper divisors (10548759240).

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

4003200000 is an equidigital number, since it uses as much as digits as its factorization.

4003200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4003200000 is about 63270.8463670275. The cubic root of 4003200000 is about 1587.8242460837.

Adding to 4003200000 its reverse (23004), we get a palindrome (4003223004).

It can be divided in two parts, 400 and 3200000, that multiplied together give a 7-th power (1280000000 = 20⁷).

The spelling of 4003200000 in words is "four billion, three million, two hundred thousand".