4243252780800 has 972 divisors, whose sum is σ = 17293470794600. Its totient is φ = 1028621721600.

The previous prime is 4243252780777. The next prime is 4243252780831. The reversal of 4243252780800 is 80872523424.

4243252780800 is a `hidden beast` number, since 4 + 2 + 43 + 2 + 527 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 188167926 + ... + 188190474.

Almost surely, 2^{4243252780800} is an apocalyptic number.

4243252780800 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 4243252780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646735397300).

4243252780800 is an abundant number, since it is smaller than the sum of its proper divisors (13050218013800).

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

4243252780800 is a wasteful number, since it uses less digits than its factorization.

4243252780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22612 (or 22570 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4243252780800 in words is "four trillion, two hundred forty-three billion, two hundred fifty-two million, seven hundred eighty thousand, eight hundred".