2140342401120 has 384 divisors, whose sum is σ = 8408309317632. Its totient is φ = 444608870400.

The previous prime is 2140342401089. The next prime is 2140342401133. The reversal of 2140342401120 is 211042430412.

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

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 63 ways as a sum of consecutive naturals, for example, 156370917 + ... + 156384603.

It is an arithmetic number, because the mean of its divisors is an integer number (21896638848).

Almost surely, 2^{2140342401120} is an apocalyptic number.

2140342401120 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 2140342401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204154658816).

2140342401120 is an abundant number, since it is smaller than the sum of its proper divisors (6267966916512).

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

2140342401120 is a wasteful number, since it uses less digits than its factorization.

2140342401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17954 (or 17946 counting only the distinct ones).

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

Adding to 2140342401120 its reverse (211042430412), we get a palindrome (2351384831532).

The spelling of 2140342401120 in words is "two trillion, one hundred forty billion, three hundred forty-two million, four hundred one thousand, one hundred twenty".