4111504361328 has 480 divisors, whose sum is σ = 13652051212800. Its totient is φ = 1056281167872.

The previous prime is 4111504361323. The next prime is 4111504361383. The reversal of 4111504361328 is 8231634051114.

4111504361328 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 2×4111504361328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111504361323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 511440733 + ... + 511448771.

It is an arithmetic number, because the mean of its divisors is an integer number (28441773360).

Almost surely, 2^{4111504361328} is an apocalyptic number.

4111504361328 is a gapful number since it is divisible by the number (48) 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 4111504361328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826025606400).

4111504361328 is an abundant number, since it is smaller than the sum of its proper divisors (9540546851472).

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

4111504361328 is a wasteful number, since it uses less digits than its factorization.

4111504361328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 4111504361328 in words is "four trillion, one hundred eleven billion, five hundred four million, three hundred sixty-one thousand, three hundred twenty-eight".