6044138611200 has 1440 divisors, whose sum is σ = 23845243181760. Its totient is φ = 1513296691200.

The previous prime is 6044138611169. The next prime is 6044138611249. The reversal of 6044138611200 is 21168314406.

6044138611200 is a `hidden beast` number, since 6 + 0 + 4 + 4 + 1 + 38 + 611 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6044138611200² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3337458295 + ... + 3337460105.

It is an arithmetic number, because the mean of its divisors is an integer number (16559196654).

Almost surely, 2^{6044138611200} is an apocalyptic number.

6044138611200 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 6044138611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922621590880).

6044138611200 is an abundant number, since it is smaller than the sum of its proper divisors (17801104570560).

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

6044138611200 is a wasteful number, since it uses less digits than its factorization.

6044138611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6044138611200 in words is "six trillion, forty-four billion, one hundred thirty-eight million, six hundred eleven thousand, two hundred".