2140401000000 has 196 divisors, whose sum is σ = 7078849702064. Its totient is φ = 570772800000.

The previous prime is 2140400999983. The next prime is 2140401000013. The reversal of 2140401000000 is 1040412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2140401000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2643267 + ... + 3356733.

Almost surely, 2^{2140401000000} is an apocalyptic number.

2140401000000 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 2140401000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539424851032).

2140401000000 is an abundant number, since it is smaller than the sum of its proper divisors (4938448702064).

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

2140401000000 is an frugal number, since it uses more digits than its factorization.

2140401000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713512 (or 713477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2140401000000 its reverse (1040412), we get a palindrome (2140402040412).

The spelling of 2140401000000 in words is "two trillion, one hundred forty billion, four hundred one million", and thus it is an aban number.