4063413841344 has 1344 divisors, whose sum is σ = 14479408419840. Its totient is φ = 1072963584000.

The previous prime is 4063413841309. The next prime is 4063413841349. The reversal of 4063413841344 is 4431483143604.

4063413841344 is a `hidden beast` number, since 4 + 0 + 63 + 4 + 138 + 413 + 44 = 666.

It is a super-2 number, since 2×4063413841344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4063413841344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4063413841349) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19257885399 + ... + 19257885609.

It is an arithmetic number, because the mean of its divisors is an integer number (10773369360).

Almost surely, 2^{4063413841344} is an apocalyptic number.

4063413841344 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 4063413841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239704209920).

4063413841344 is an abundant number, since it is smaller than the sum of its proper divisors (10415994578496).

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

4063413841344 is a wasteful number, since it uses less digits than its factorization.

4063413841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

Adding to 4063413841344 its reverse (4431483143604), we get a palindrome (8494896984948).

The spelling of 4063413841344 in words is "four trillion, sixty-three billion, four hundred thirteen million, eight hundred forty-one thousand, three hundred forty-four".