4811172800 has 252 divisors, whose sum is σ = 13922334360. Its totient is φ = 1631508480.

The previous prime is 4811172781. The next prime is 4811172803. The reversal of 4811172800 is 82711184.

It is a super-2 number, since 2×4811172800² = 46294767422919680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4811172803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8545319 + ... + 8545881.

Almost surely, 2^4811172800 is an apocalyptic number.

4811172800 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 4811172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961167180).

4811172800 is an abundant number, since it is smaller than the sum of its proper divisors (9111161560).

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

4811172800 is a wasteful number, since it uses less digits than its factorization.

4811172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 4811172800 is about 69362.6181743452. The cubic root of 4811172800 is about 1688.1731364828.

Adding to 4811172800 its reverse (82711184), we get a palindrome (4893883984).

The spelling of 4811172800 in words is "four billion, eight hundred eleven million, one hundred seventy-two thousand, eight hundred".