6122144442400 has 288 divisors, whose sum is σ = 17796612943872. Its totient is φ = 2012320281600.

The previous prime is 6122144442389. The next prime is 6122144442443. The reversal of 6122144442400 is 42444412216.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18410407 + ... + 18739993.

It is an arithmetic number, because the mean of its divisors is an integer number (61793794944).

Almost surely, 2^{6122144442400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6122144442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898306471936).

6122144442400 is an abundant number, since it is smaller than the sum of its proper divisors (11674468501472).

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

6122144442400 is a wasteful number, since it uses less digits than its factorization.

6122144442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329752 (or 329739 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 6122144442400 its reverse (42444412216), we get a palindrome (6164588854616).

The spelling of 6122144442400 in words is "six trillion, one hundred twenty-two billion, one hundred forty-four million, four hundred forty-two thousand, four hundred".