4321200240000 has 1440 divisors, whose sum is σ = 18424300649040. Its totient is φ = 968647680000.

The previous prime is 4321200239977. The next prime is 4321200240023. The reversal of 4321200240000 is 420021234.

4321200240000 is a `hidden beast` number, since 43 + 21 + 200 + 2 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4321200239977) and next prime (4321200240023).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1869838845 + ... + 1869841155.

Almost surely, 2^{4321200240000} is an apocalyptic number.

4321200240000 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 4321200240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212150324520).

4321200240000 is an abundant number, since it is smaller than the sum of its proper divisors (14103100409040).

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

4321200240000 is a wasteful number, since it uses less digits than its factorization.

4321200240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4321200240000 its reverse (420021234), we get a palindrome (4321620261234).

The spelling of 4321200240000 in words is "four trillion, three hundred twenty-one billion, two hundred million, two hundred forty thousand".