4243557566400 has 336 divisors, whose sum is σ = 13982107468800. Its totient is φ = 1126774333440.

The previous prime is 4243557566363. The next prime is 4243557566407. The reversal of 4243557566400 is 46657553424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243557566407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1202479836 + ... + 1202483364.

Almost surely, 2^{4243557566400} is an apocalyptic number.

4243557566400 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 4243557566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991053734400).

4243557566400 is an abundant number, since it is smaller than the sum of its proper divisors (9738549902400).

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

4243557566400 is a wasteful number, since it uses less digits than its factorization.

4243557566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 51.

The spelling of 4243557566400 in words is "four trillion, two hundred forty-three billion, five hundred fifty-seven million, five hundred sixty-six thousand, four hundred".