1402144441344 has 264 divisors, whose sum is σ = 4194997424280. Its totient is φ = 450712829952.

The previous prime is 1402144441343. The next prime is 1402144441349. The reversal of 1402144441344 is 4431444412041.

1402144441344 is a `hidden beast` number, since 1 + 40 + 2 + 144 + 441 + 34 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 443875737600 + 958268703744 = 666240^2 + 978912^2 .

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 = 1402144441299 and 1402144441308.

It is not an unprimeable number, because it can be changed into a prime (1402144441343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38513902 + ... + 38550290.

Almost surely, 2^{1402144441344} 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 1402144441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097498712140).

1402144441344 is an abundant number, since it is smaller than the sum of its proper divisors (2792852982936).

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

1402144441344 is a wasteful number, since it uses less digits than its factorization.

1402144441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36565 (or 36544 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 1402144441344 its reverse (4431444412041), we get a palindrome (5833588853385).

The spelling of 1402144441344 in words is "one trillion, four hundred two billion, one hundred forty-four million, four hundred forty-one thousand, three hundred forty-four".