4320420249600 has 2880 divisors, whose sum is σ = 20150415290880. Its totient is φ = 894361927680.

The previous prime is 4320420249553. The next prime is 4320420249611. The reversal of 4320420249600 is 69420240234.

4320420249600 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 4 + 2 + 0 + 2 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4320420249600² (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 an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 81517363174 + ... + 81517363226.

It is an arithmetic number, because the mean of its divisors is an integer number (6996671976).

Almost surely, 2^{4320420249600} is an apocalyptic number.

4320420249600 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 4320420249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075207645440).

4320420249600 is an abundant number, since it is smaller than the sum of its proper divisors (15829995041280).

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

4320420249600 is an frugal number, since it uses more digits than its factorization.

4320420249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 4320420249600 its reverse (69420240234), we get a palindrome (4389840489834).

The spelling of 4320420249600 in words is "four trillion, three hundred twenty billion, four hundred twenty million, two hundred forty-nine thousand, six hundred".