2140230400000 has 1152 divisors, whose sum is σ = 6891443919360. Its totient is φ = 645120000000.

The previous prime is 2140230399947. The next prime is 2140230400031. The reversal of 2140230400000 is 40320412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21190399950 + ... + 21190400050.

It is an arithmetic number, because the mean of its divisors is an integer number (5982156180).

Almost surely, 2^{2140230400000} is an apocalyptic number.

2140230400000 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 2140230400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445721959680).

2140230400000 is an abundant number, since it is smaller than the sum of its proper divisors (4751213519360).

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

2140230400000 is an equidigital number, since it uses as much as digits as its factorization.

2140230400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2140230400000 its reverse (40320412), we get a palindrome (2140270720412).

The spelling of 2140230400000 in words is "two trillion, one hundred forty billion, two hundred thirty million, four hundred thousand".