4013004985344 has 308 divisors, whose sum is σ = 12042926841504. Its totient is φ = 1335968059392.

The previous prime is 4013004985333. The next prime is 4013004985349. The reversal of 4013004985344 is 4435894003104.

4013004985344 is a `hidden beast` number, since 40 + 1 + 30 + 0 + 49 + 8 + 534 + 4 = 666.

It is a super-2 number, since 2×4013004985344² (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 4013004985344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013004985349) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 677068909 + ... + 677074835.

Almost surely, 2^{4013004985344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013004985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021463420752).

4013004985344 is an abundant number, since it is smaller than the sum of its proper divisors (8029921856160).

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

4013004985344 is an frugal number, since it uses more digits than its factorization.

4013004985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 4013004985344 its reverse (4435894003104), we get a palindrome (8448898988448).

The spelling of 4013004985344 in words is "four trillion, thirteen billion, four million, nine hundred eighty-five thousand, three hundred forty-four".