3201142340000 has 240 divisors, whose sum is σ = 8694784153440. Its totient is φ = 1150020480000.

The previous prime is 3201142339961. The next prime is 3201142340023. The reversal of 3201142340000 is 432411023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18172346 + ... + 18347654.

It is an arithmetic number, because the mean of its divisors is an integer number (36228267306).

Almost surely, 2^{3201142340000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201142340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347392076720).

3201142340000 is an abundant number, since it is smaller than the sum of its proper divisors (5493641813440).

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

3201142340000 is a wasteful number, since it uses less digits than its factorization.

3201142340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175433 (or 175410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3201142340000 its reverse (432411023), we get a palindrome (3201574751023).

The spelling of 3201142340000 in words is "three trillion, two hundred one billion, one hundred forty-two million, three hundred forty thousand".