2140444432000 has 512 divisors, whose sum is σ = 6561492687360. Its totient is φ = 677634048000.

The previous prime is 2140444431977. The next prime is 2140444432013. The reversal of 2140444432000 is 2344440412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2140444432000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100901395 + ... + 100922605.

It is an arithmetic number, because the mean of its divisors is an integer number (12815415405).

Almost surely, 2^{2140444432000} is an apocalyptic number.

2140444432000 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 2140444432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280746343680).

2140444432000 is an abundant number, since it is smaller than the sum of its proper divisors (4421048255360).

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

2140444432000 is a wasteful number, since it uses less digits than its factorization.

2140444432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21317 (or 21295 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2140444432000 its reverse (2344440412), we get a palindrome (2142788872412).

The spelling of 2140444432000 in words is "two trillion, one hundred forty billion, four hundred forty-four million, four hundred thirty-two thousand".