7211406400 has 189 divisors, whose sum is σ = 19605941103. Its totient is φ = 2608742400.

The previous prime is 7211406383. The next prime is 7211406427. The reversal of 7211406400 is 46041127.

The square root of 7211406400 is 84920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1159811136 + 6051595264 = 34056^2 + 77792^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37364704 + ... + 37364896.

Almost surely, 2^7211406400 is an apocalyptic number.

7211406400 is the 84920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7211406400

7211406400 is an abundant number, since it is smaller than the sum of its proper divisors (12394534703).

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

7211406400 is a wasteful number, since it uses less digits than its factorization.

7211406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The cubic root of 7211406400 is about 1931.9979310333.

Multiplying 7211406400 by its sum of digits (25), we get a square (180285160000 = 424600²).

7211406400 divided by its sum of digits (25) gives a square (288456256 = 16984²).

Adding to 7211406400 its reverse (46041127), we get a palindrome (7257447527).

The spelling of 7211406400 in words is "seven billion, two hundred eleven million, four hundred six thousand, four hundred".