4044211141400 has 96 divisors (see below), whose sum is σ = 9728849412000. Its totient is φ = 1561609297920.

The previous prime is 4044211141363. The next prime is 4044211141469. The reversal of 4044211141400 is 41411124404.

It is a self number, because there is not a number n which added to its sum of digits gives 4044211141400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32237597 + ... + 32362803.

It is an arithmetic number, because the mean of its divisors is an integer number (101342181375).

Almost surely, 2^{4044211141400} is an apocalyptic number.

4044211141400 is a gapful number since it is divisible by the number (40) 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 4044211141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864424706000).

4044211141400 is an abundant number, since it is smaller than the sum of its proper divisors (5684638270600).

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

4044211141400 is a wasteful number, since it uses less digits than its factorization.

4044211141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130821 (or 130812 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 4044211141400 its reverse (41411124404), we get a palindrome (4085622265804).

The spelling of 4044211141400 in words is "four trillion, forty-four billion, two hundred eleven million, one hundred forty-one thousand, four hundred".