1004144561316 has 120 divisors (see below), whose sum is σ = 2833344448704. Its totient is φ = 308269540800.

The previous prime is 1004144561297. The next prime is 1004144561317. The reversal of 1004144561316 is 6131654414001.

1004144561316 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 44 + 561 + 3 + 16 = 666.

1004144561316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1004144561317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596841 + ... + 2134991.

Almost surely, 2^{1004144561316} 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 1004144561316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416672224352).

1004144561316 is an abundant number, since it is smaller than the sum of its proper divisors (1829199887388).

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

1004144561316 is a wasteful number, since it uses less digits than its factorization.

1004144561316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538623 (or 538612 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 1004144561316 its reverse (6131654414001), we get a palindrome (7135798975317).

The spelling of 1004144561316 in words is "one trillion, four billion, one hundred forty-four million, five hundred sixty-one thousand, three hundred sixteen".