2140403140120 has 128 divisors (see below), whose sum is σ = 5582316579840. Its totient is φ = 723434595840.

The previous prime is 2140403140069. The next prime is 2140403140151. The reversal of 2140403140120 is 210413040412.

It is a happy number.

It is a super-4 number, since 4×2140403140120⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2140403140091 and 2140403140100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10613749 + ... + 10813531.

It is an arithmetic number, because the mean of its divisors is an integer number (43611848280).

Almost surely, 2^{2140403140120} is an apocalyptic number.

2140403140120 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 2140403140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791158289920).

2140403140120 is an abundant number, since it is smaller than the sum of its proper divisors (3441913439720).

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

2140403140120 is a wasteful number, since it uses less digits than its factorization.

2140403140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200345 (or 200341 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2140403140120 its reverse (210413040412), we get a palindrome (2350816180532).

The spelling of 2140403140120 in words is "two trillion, one hundred forty billion, four hundred three million, one hundred forty thousand, one hundred twenty".