43201166400 has 1344 divisors, whose sum is σ = 193914572800. Its totient is φ = 9137111040.

The previous prime is 43201166369. The next prime is 43201166401. The reversal of 43201166400 is 466110234.

43201166400 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 1 + 16 + 640 + 0 = 666.

43201166400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43201166401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419428749 + ... + 419428851.

Almost surely, 2^43201166400 is an apocalyptic number.

43201166400 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 43201166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96957286400).

43201166400 is an abundant number, since it is smaller than the sum of its proper divisors (150713406400).

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

43201166400 is a wasteful number, since it uses less digits than its factorization.

43201166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 43201166400 its reverse (466110234), we get a palindrome (43667276634).

The spelling of 43201166400 in words is "forty-three billion, two hundred one million, one hundred sixty-six thousand, four hundred".