4320481075200 has 2688 divisors, whose sum is σ = 18429695424000. Its totient is φ = 985242009600.

The previous prime is 4320481075123. The next prime is 4320481075201. The reversal of 4320481075200 is 25701840234.

It is a happy number.

4320481075200 is a `hidden beast` number, since 4 + 3 + 20 + 4 + 8 + 107 + 520 + 0 = 666.

It is a super-2 number, since 2×4320481075200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320481075201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73228492771 + ... + 73228492829.

It is an arithmetic number, because the mean of its divisors is an integer number (6856285500).

Almost surely, 2^{4320481075200} is an apocalyptic number.

4320481075200 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 4320481075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214847712000).

4320481075200 is an abundant number, since it is smaller than the sum of its proper divisors (14109214348800).

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

4320481075200 is a wasteful number, since it uses less digits than its factorization.

4320481075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4320481075200 in words is "four trillion, three hundred twenty billion, four hundred eighty-one million, seventy-five thousand, two hundred".