2140044114000 has 320 divisors, whose sum is σ = 7524308413440. Its totient is φ = 520110489600.

The previous prime is 2140044113993. The next prime is 2140044114029. The reversal of 2140044114000 is 4114400412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5988352 + ... + 6335648.

It is an arithmetic number, because the mean of its divisors is an integer number (23513463792).

Almost surely, 2^{2140044114000} is an apocalyptic number.

2140044114000 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 2140044114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762154206720).

2140044114000 is an abundant number, since it is smaller than the sum of its proper divisors (5384264299440).

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

2140044114000 is a wasteful number, since it uses less digits than its factorization.

2140044114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347415 (or 347399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2140044114000 its reverse (4114400412), we get a palindrome (2144158514412).

The spelling of 2140044114000 in words is "two trillion, one hundred forty billion, forty-four million, one hundred fourteen thousand".