4078181184 has 224 divisors, whose sum is σ = 13523951616. Its totient is φ = 1053665280.

The previous prime is 4078181183. The next prime is 4078181197. The reversal of 4078181184 is 4811818704.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078181183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3296214 + ... + 3297450.

It is an arithmetic number, because the mean of its divisors is an integer number (60374784).

Almost surely, 2^4078181184 is an apocalyptic number.

4078181184 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 4078181184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761975808).

4078181184 is an abundant number, since it is smaller than the sum of its proper divisors (9445770432).

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

4078181184 is a wasteful number, since it uses less digits than its factorization.

4078181184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 4078181184 is about 63860.6387691197. The cubic root of 4078181184 is about 1597.6764690525.

Adding to 4078181184 its reverse (4811818704), we get a palindrome (8889999888).

The spelling of 4078181184 in words is "four billion, seventy-eight million, one hundred eighty-one thousand, one hundred eighty-four".