4011413324424 has 128 divisors (see below), whose sum is σ = 11587431905280. Its totient is φ = 1143712486400.

The previous prime is 4011413324423. The next prime is 4011413324453. The reversal of 4011413324424 is 4244233141104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4011413324423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14181157 + ... + 14461259.

It is an arithmetic number, because the mean of its divisors is an integer number (90526811760).

Almost surely, 2^{4011413324424} is an apocalyptic number.

4011413324424 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 4011413324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793715952640).

4011413324424 is an abundant number, since it is smaller than the sum of its proper divisors (7576018580856).

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

4011413324424 is a wasteful number, since it uses less digits than its factorization.

4011413324424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283331 (or 283327 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4011413324424 its reverse (4244233141104), we get a palindrome (8255646465528).

The spelling of 4011413324424 in words is "four trillion, eleven billion, four hundred thirteen million, three hundred twenty-four thousand, four hundred twenty-four".