4011344321424 has 320 divisors, whose sum is σ = 12157167605760. Its totient is φ = 1126185984000.

The previous prime is 4011344321419. The next prime is 4011344321429. The reversal of 4011344321424 is 4241234431104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4011344321419) and next prime (4011344321429).

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 (4011344321429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440366982 + ... + 440376090.

It is an arithmetic number, because the mean of its divisors is an integer number (37991148768).

Almost surely, 2^{4011344321424} is an apocalyptic number.

4011344321424 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 4011344321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078583802880).

4011344321424 is an abundant number, since it is smaller than the sum of its proper divisors (8145823284336).

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

4011344321424 is a wasteful number, since it uses less digits than its factorization.

4011344321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9904 counting only the distinct ones).

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

Adding to 4011344321424 its reverse (4241234431104), we get a palindrome (8252578752528).

The spelling of 4011344321424 in words is "four trillion, eleven billion, three hundred forty-four million, three hundred twenty-one thousand, four hundred twenty-four".