4020133200 has 240 divisors, whose sum is σ = 13567167360. Its totient is φ = 1015562240.

The previous prime is 4020133151. The next prime is 4020133237. The reversal of 4020133200 is 23310204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4020133200² = 32322941891484480000, which contains 22 as substring.

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 4020133200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3118156 + ... + 3119444.

It is an arithmetic number, because the mean of its divisors is an integer number (56529864).

Almost surely, 2^4020133200 is an apocalyptic number.

4020133200 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 4020133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783583680).

4020133200 is an abundant number, since it is smaller than the sum of its proper divisors (9547034160).

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

4020133200 is a wasteful number, since it uses less digits than its factorization.

4020133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4020133200 is about 63404.5203435843. The cubic root of 4020133200 is about 1590.0598846161.

Adding to 4020133200 its reverse (23310204), we get a palindrome (4043443404).

The spelling of 4020133200 in words is "four billion, twenty million, one hundred thirty-three thousand, two hundred".