6044336121600 has 1728 divisors, whose sum is σ = 26187073920000. Its totient is φ = 1380465192960.

The previous prime is 6044336121563. The next prime is 6044336121613. The reversal of 6044336121600 is 61216334406.

6044336121600 is a `hidden beast` number, since 6 + 0 + 4 + 4 + 3 + 36 + 12 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4800901771 + ... + 4800903029.

Almost surely, 2^{6044336121600} is an apocalyptic number.

6044336121600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6044336121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13093536960000).

6044336121600 is an abundant number, since it is smaller than the sum of its proper divisors (20142737798400).

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

6044336121600 is an frugal number, since it uses more digits than its factorization.

6044336121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 6044336121600 in words is "six trillion, forty-four billion, three hundred thirty-six million, one hundred twenty-one thousand, six hundred".