3140440144000 has 128 divisors (see below), whose sum is σ = 7914880050480. Its totient is φ = 1238967705600.

The previous prime is 3140440143991. The next prime is 3140440144027. The reversal of 3140440144000 is 4410440413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 100885005376 + 3039555138624 = 317624^2 + 1743432^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176367 + ... + 2512366.

Almost surely, 2^{3140440144000} 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 3140440144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957440025240).

3140440144000 is an abundant number, since it is smaller than the sum of its proper divisors (4774439906480).

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

3140440144000 is an equidigital number, since it uses as much as digits as its factorization.

3140440144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688835 (or 2688813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 3140440144000 its reverse (4410440413), we get a palindrome (3144850584413).

The spelling of 3140440144000 in words is "three trillion, one hundred forty billion, four hundred forty million, one hundred forty-four thousand".