6214144400 has 30 divisors (see below), whose sum is σ = 14929482882. Its totient is φ = 2485657600.

The previous prime is 6214144381. The next prime is 6214144403. The reversal of 6214144400 is 44414126.

It can be written as a sum of positive squares in 3 ways, for example, as 102657424 + 6111486976 = 10132^2 + 78176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6214144400.

It is not an unprimeable number, because it can be changed into a prime (6214144403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7767281 + ... + 7768080.

Almost surely, 2^6214144400 is an apocalyptic number.

It is an amenable number.

6214144400 is an abundant number, since it is smaller than the sum of its proper divisors (8715338482).

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

6214144400 is a wasteful number, since it uses less digits than its factorization.

6214144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15535379 (or 15535368 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 6214144400 is about 78829.8446021556. The cubic root of 6214144400 is about 1838.4865074655.

Adding to 6214144400 its reverse (44414126), we get a palindrome (6258558526).

The spelling of 6214144400 in words is "six billion, two hundred fourteen million, one hundred forty-four thousand, four hundred".