2142034121040 has 320 divisors, whose sum is σ = 7677180414720. Its totient is φ = 488283013120.

The previous prime is 2142034121033. The next prime is 2142034121053. The reversal of 2142034121040 is 401214302412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2142034121040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49750402 + ... + 49793438.

It is an arithmetic number, because the mean of its divisors is an integer number (23991188796).

Almost surely, 2^{2142034121040} is an apocalyptic number.

2142034121040 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 2142034121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838590207360).

2142034121040 is an abundant number, since it is smaller than the sum of its proper divisors (5535146293680).

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

2142034121040 is a wasteful number, since it uses less digits than its factorization.

2142034121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44190 (or 44184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2142034121040 its reverse (401214302412), we get a palindrome (2543248423452).

The spelling of 2142034121040 in words is "two trillion, one hundred forty-two billion, thirty-four million, one hundred twenty-one thousand, forty".