2141035140000 has 480 divisors, whose sum is σ = 7415923394880. Its totient is φ = 539191296000.

The previous prime is 2141035139939. The next prime is 2141035140001. The reversal of 2141035140000 is 415301412.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (2141035140001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 384177214 + ... + 384182786.

It is an arithmetic number, because the mean of its divisors is an integer number (15449840406).

Almost surely, 2^{2141035140000} is an apocalyptic number.

2141035140000 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 2141035140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707961697440).

2141035140000 is an abundant number, since it is smaller than the sum of its proper divisors (5274888254880).

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

2141035140000 is a wasteful number, since it uses less digits than its factorization.

2141035140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 2141035140000 in words is "two trillion, one hundred forty-one billion, thirty-five million, one hundred forty thousand".