4000132200 has 192 divisors, whose sum is σ = 12824179200. Its totient is φ = 1030758400.

The previous prime is 4000132189. The next prime is 4000132211. The reversal of 4000132200 is 22310004.

It is an interprime number because it is at equal distance from previous prime (4000132189) and next prime (4000132211).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 2779081 + ... + 2780519.

It is an arithmetic number, because the mean of its divisors is an integer number (66792600).

Almost surely, 2^4000132200 is an apocalyptic number.

4000132200 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 4000132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412089600).

4000132200 is an abundant number, since it is smaller than the sum of its proper divisors (8824047000).

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

4000132200 is a wasteful number, since it uses less digits than its factorization.

4000132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4000132200 is about 63246.5983274990. The cubic root of 4000132200 is about 1587.4185396438.

Adding to 4000132200 its reverse (22310004), we get a palindrome (4022442204).

The spelling of 4000132200 in words is "four billion, one hundred thirty-two thousand, two hundred".