4115044321520 has 160 divisors (see below), whose sum is σ = 10987978510080. Its totient is φ = 1417442181120.

The previous prime is 4115044321483. The next prime is 4115044321529. The reversal of 4115044321520 is 251234405114.

4115044321520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4115044321520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115044321529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258198992 + ... + 258214928.

It is an arithmetic number, because the mean of its divisors is an integer number (68674865688).

Almost surely, 2^{4115044321520} is an apocalyptic number.

4115044321520 is a gapful number since it is divisible by the number (40) 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 4115044321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493989255040).

4115044321520 is an abundant number, since it is smaller than the sum of its proper divisors (6872934188560).

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

4115044321520 is a wasteful number, since it uses less digits than its factorization.

4115044321520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31423 (or 31417 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 4115044321520 its reverse (251234405114), we get a palindrome (4366278726634).

The spelling of 4115044321520 in words is "four trillion, one hundred fifteen billion, forty-four million, three hundred twenty-one thousand, five hundred twenty".