4531812748800 has 480 divisors, whose sum is σ = 15286222119168. Its totient is φ = 1183263621120.

The previous prime is 4531812748753. The next prime is 4531812748829. The reversal of 4531812748800 is 88472181354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360147309 + ... + 360159891.

Almost surely, 2^{4531812748800} is an apocalyptic number.

4531812748800 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 4531812748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643111059584).

4531812748800 is an abundant number, since it is smaller than the sum of its proper divisors (10754409370368).

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

4531812748800 is a wasteful number, since it uses less digits than its factorization.

4531812748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810 (or 12789 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 4531812748800 in words is "four trillion, five hundred thirty-one billion, eight hundred twelve million, seven hundred forty-eight thousand, eight hundred".