4811032261728 has 576 divisors, whose sum is σ = 18381544151040. Its totient is φ = 1209304857600.

The previous prime is 4811032261727. The next prime is 4811032261811. The reversal of 4811032261728 is 8271622301184.

4811032261728 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 0 + 3 + 2 + 2 + 617 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4811032261727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14269950 + ... + 14603202.

It is an arithmetic number, because the mean of its divisors is an integer number (31912403040).

Almost surely, 2^{4811032261728} is an apocalyptic number.

4811032261728 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 4811032261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190772075520).

4811032261728 is an abundant number, since it is smaller than the sum of its proper divisors (13570511889312).

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

4811032261728 is a wasteful number, since it uses less digits than its factorization.

4811032261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333328 (or 333307 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 4811032261728 in words is "four trillion, eight hundred eleven billion, thirty-two million, two hundred sixty-one thousand, seven hundred twenty-eight".