4380804147200 has 288 divisors, whose sum is σ = 12385366582680. Its totient is φ = 1522375065600.

The previous prime is 4380804147179. The next prime is 4380804147229. The reversal of 4380804147200 is 27414080834.

It is a happy number.

4380804147200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 88813536256 + 4291990610944 = 298016^2 + 2071712^2 .

It is a super-2 number, since 2×4380804147200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11121620 + ... + 11508780.

Almost surely, 2^{4380804147200} is an apocalyptic number.

4380804147200 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 4380804147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192683291340).

4380804147200 is an abundant number, since it is smaller than the sum of its proper divisors (8004562435480).

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

4380804147200 is a wasteful number, since it uses less digits than its factorization.

4380804147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387223 (or 387198 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 4380804147200 in words is "four trillion, three hundred eighty billion, eight hundred four million, one hundred forty-seven thousand, two hundred".