4114014433144 has 128 divisors (see below), whose sum is σ = 9640647475200. Its totient is φ = 1598954797440.

The previous prime is 4114014433127. The next prime is 4114014433147. The reversal of 4114014433144 is 4413344104114.

It is a super-2 number, since 2×4114014433144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114014433147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816432177 + ... + 816437215.

It is an arithmetic number, because the mean of its divisors is an integer number (75317558400).

Almost surely, 2^{4114014433144} is an apocalyptic number.

4114014433144 is a gapful number since it is divisible by the number (44) 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 4114014433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820323737600).

4114014433144 is an abundant number, since it is smaller than the sum of its proper divisors (5526633042056).

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

4114014433144 is a wasteful number, since it uses less digits than its factorization.

4114014433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 4114014433144 its reverse (4413344104114), we get a palindrome (8527358537258).

The spelling of 4114014433144 in words is "four trillion, one hundred fourteen billion, fourteen million, four hundred thirty-three thousand, one hundred forty-four".