7128041200 has 240 divisors, whose sum is σ = 20326087936. Its totient is φ = 2351462400.

The previous prime is 7128041191. The next prime is 7128041201. The reversal of 7128041200 is 21408217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128041201) by changing a digit.

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, 8788795 + ... + 8789605.

Almost surely, 2^7128041200 is an apocalyptic number.

7128041200 is a gapful number since it is divisible by the number (70) 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 7128041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163043968).

7128041200 is an abundant number, since it is smaller than the sum of its proper divisors (13198046736).

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

7128041200 is a wasteful number, since it uses less digits than its factorization.

7128041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 7128041200 is about 84427.7276728445. The cubic root of 7128041200 is about 1924.5243059144.

Adding to 7128041200 its reverse (21408217), we get a palindrome (7149449417).

The spelling of 7128041200 in words is "seven billion, one hundred twenty-eight million, forty-one thousand, two hundred".