3144013310200 has 192 divisors, whose sum is σ = 8680707256320. Its totient is φ = 1036264320000.

The previous prime is 3144013310197. The next prime is 3144013310201. The reversal of 3144013310200 is 20133104413.

It is a super-2 number, since 2×3144013310200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144013310201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6313524 + ... + 6793276.

It is an arithmetic number, because the mean of its divisors is an integer number (45212016960).

Almost surely, 2^{3144013310200} 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 3144013310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340353628160).

3144013310200 is an abundant number, since it is smaller than the sum of its proper divisors (5536693946120).

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

3144013310200 is a wasteful number, since it uses less digits than its factorization.

3144013310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479958 (or 479949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3144013310200 its reverse (20133104413), we get a palindrome (3164146414613).

The spelling of 3144013310200 in words is "three trillion, one hundred forty-four billion, thirteen million, three hundred ten thousand, two hundred".