3144011344000 has 64 divisors (see below), whose sum is σ = 7816798243800. Its totient is φ = 1257604531200.

The previous prime is 3144011343943. The next prime is 3144011344009. The reversal of 3144011344000 is 4431104413.

It can be written as a sum of positive squares in 4 ways, for example, as 1794678198336 + 1349333145664 = 1339656^2 + 1161608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3144011344009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98234355 + ... + 98266354.

Almost surely, 2^{3144011344000} is an apocalyptic number.

It is an amenable number.

3144011344000 is an abundant number, since it is smaller than the sum of its proper divisors (4672786899800).

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

3144011344000 is an equidigital number, since it uses as much as digits as its factorization.

3144011344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196500738 (or 196500716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3144011344000 its reverse (4431104413), we get a palindrome (3148442448413).

The spelling of 3144011344000 in words is "three trillion, one hundred forty-four billion, eleven million, three hundred forty-four thousand".