2128044441600 has 3600 divisors, whose sum is σ = 10619339068800. Its totient is φ = 416179814400.

The previous prime is 2128044441587. The next prime is 2128044441623. The reversal of 2128044441600 is 61444408212.

2128044441600 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 0 + 4 + 4 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 239 ways as a sum of consecutive naturals, for example, 125179084792 + ... + 125179084808.

It is an arithmetic number, because the mean of its divisors is an integer number (2949816408).

Almost surely, 2^{2128044441600} is an apocalyptic number.

2128044441600 is a gapful number since it is divisible by the number (20) 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 2128044441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309669534400).

2128044441600 is an abundant number, since it is smaller than the sum of its proper divisors (8491294627200).

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

2128044441600 is an equidigital number, since it uses as much as digits as its factorization.

2128044441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 2128044441600 its reverse (61444408212), we get a palindrome (2189488849812).

The spelling of 2128044441600 in words is "two trillion, one hundred twenty-eight billion, forty-four million, four hundred forty-one thousand, six hundred".