2144504431040 has 112 divisors (see below), whose sum is σ = 5125250916864. Its totient is φ = 854671488000.

The previous prime is 2144504431033. The next prime is 2144504431051. The reversal of 2144504431040 is 401344054412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2144504430988 and 2144504431006.

It is a congruent number.

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, 400764365 + ... + 400769715.

Almost surely, 2^{2144504431040} is an apocalyptic number.

2144504431040 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 2144504431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562625458432).

2144504431040 is an abundant number, since it is smaller than the sum of its proper divisors (2980746485824).

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

2144504431040 is a wasteful number, since it uses less digits than its factorization.

2144504431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 2144504431040 its reverse (401344054412), we get a palindrome (2545848485452).

The spelling of 2144504431040 in words is "two trillion, one hundred forty-four billion, five hundred four million, four hundred thirty-one thousand, forty".