6006400042200 has 96 divisors (see below), whose sum is σ = 18620922210000. Its totient is φ = 1601613596160.

The previous prime is 6006400042193. The next prime is 6006400042211. The reversal of 6006400042200 is 22400046006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10367394 + ... + 10931406.

Almost surely, 2^{6006400042200} is an apocalyptic number.

6006400042200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6006400042200 is an abundant number, since it is smaller than the sum of its proper divisors (12614522167800).

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

6006400042200 is a wasteful number, since it uses less digits than its factorization.

6006400042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581781 (or 581772 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 6006400042200 its reverse (22400046006), we get a palindrome (6028800088206).

The spelling of 6006400042200 in words is "six trillion, six billion, four hundred million, forty-two thousand, two hundred".