4411316131144 has 128 divisors (see below), whose sum is σ = 9333313516800. Its totient is φ = 1939406515200.

The previous prime is 4411316131141. The next prime is 4411316131147.

4411316131144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4411316131141) and next prime (4411316131147).

It is not an unprimeable number, because it can be changed into a prime (4411316131141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652268707 + ... + 652275469.

It is an arithmetic number, because the mean of its divisors is an integer number (72916511850).

Almost surely, 2^{4411316131144} 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 4411316131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666656758400).

4411316131144 is an abundant number, since it is smaller than the sum of its proper divisors (4921997385656).

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

4411316131144 is a wasteful number, since it uses less digits than its factorization.

4411316131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7895 (or 7891 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The spelling of 4411316131144 in words is "four trillion, four hundred eleven billion, three hundred sixteen million, one hundred thirty-one thousand, one hundred forty-four".