3144123415440 has 960 divisors, whose sum is σ = 12836418416640. Its totient is φ = 673702686720.

The previous prime is 3144123415409. The next prime is 3144123415453. The reversal of 3144123415440 is 445143214413.

It is a happy number.

3144123415440 is a `hidden beast` number, since 3 + 1 + 441 + 23 + 4 + 154 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3144123415395 and 3144123415404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6732598087 + ... + 6732598553.

It is an arithmetic number, because the mean of its divisors is an integer number (13371269184).

Almost surely, 2^{3144123415440} is an apocalyptic number.

3144123415440 is a gapful number since it is divisible by the number (30) 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 3144123415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418209208320).

3144123415440 is an abundant number, since it is smaller than the sum of its proper divisors (9692295001200).

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

3144123415440 is a wasteful number, since it uses less digits than its factorization.

3144123415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 3144123415440 its reverse (445143214413), we get a palindrome (3589266629853).

The spelling of 3144123415440 in words is "three trillion, one hundred forty-four billion, one hundred twenty-three million, four hundred fifteen thousand, four hundred forty".