2140411004160 has 576 divisors, whose sum is σ = 8110756958976. Its totient is φ = 474218496000.

The previous prime is 2140411004143. The next prime is 2140411004189. The reversal of 2140411004160 is 614001140412.

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 2140411004160.

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, 55441824 + ... + 55480416.

It is an arithmetic number, because the mean of its divisors is an integer number (14081175276).

Almost surely, 2^{2140411004160} is an apocalyptic number.

2140411004160 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 2140411004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055378479488).

2140411004160 is an abundant number, since it is smaller than the sum of its proper divisors (5970345954816).

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

2140411004160 is a wasteful number, since it uses less digits than its factorization.

2140411004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38742 (or 38728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2140411004160 its reverse (614001140412), we get a palindrome (2754412144572).

The spelling of 2140411004160 in words is "two trillion, one hundred forty billion, four hundred eleven million, four thousand, one hundred sixty".