6041446400 has 288 divisors, whose sum is σ = 17329515840. Its totient is φ = 2064384000.

The previous prime is 6041446399. The next prime is 6041446421. The reversal of 6041446400 is 46441406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9574085 + ... + 9574715.

It is an arithmetic number, because the mean of its divisors is an integer number (60171930).

Almost surely, 2^6041446400 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 6041446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664757920).

6041446400 is an abundant number, since it is smaller than the sum of its proper divisors (11288069440).

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

6041446400 is a wasteful number, since it uses less digits than its factorization.

6041446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 6041446400 is about 77726.7418588995. The cubic root of 6041446400 is about 1821.2950570045.

Adding to 6041446400 its reverse (46441406), we get a palindrome (6087887806).

The spelling of 6041446400 in words is "six billion, forty-one million, four hundred forty-six thousand, four hundred".