2141102414440 has 256 divisors, whose sum is σ = 5693002444800. Its totient is φ = 716382950400.

The previous prime is 2141102414419. The next prime is 2141102414443. The reversal of 2141102414440 is 444142011412.

It is a junction number, because it is equal to n+sod(n) for n = 2141102414399 and 2141102414408.

It is not an unprimeable number, because it can be changed into a prime (2141102414443) by changing a digit.

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, 51451722 + ... + 51493318.

It is an arithmetic number, because the mean of its divisors is an integer number (22238290800).

Almost surely, 2^{2141102414440} is an apocalyptic number.

2141102414440 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 2141102414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846501222400).

2141102414440 is an abundant number, since it is smaller than the sum of its proper divisors (3551900030360).

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

2141102414440 is a wasteful number, since it uses less digits than its factorization.

2141102414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41816 (or 41812 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 2141102414440 its reverse (444142011412), we get a palindrome (2585244425852).

The spelling of 2141102414440 in words is "two trillion, one hundred forty-one billion, one hundred two million, four hundred fourteen thousand, four hundred forty".