43454240221200 has 240 divisors, whose sum is σ = 147268443769920. Its totient is φ = 10922186741760.

The previous prime is 43454240221199. The next prime is 43454240221211. The reversal of 43454240221200 is 212204245434.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345679 + ... + 9328878.

It is an arithmetic number, because the mean of its divisors is an integer number (613618515708).

Almost surely, 2^{43454240221200} is an apocalyptic number.

43454240221200 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 43454240221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73634221884960).

43454240221200 is an abundant number, since it is smaller than the sum of its proper divisors (103814203548720).

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

43454240221200 is a wasteful number, since it uses less digits than its factorization.

43454240221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674794 (or 9674783 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 43454240221200 its reverse (212204245434), we get a palindrome (43666444466634).

The spelling of 43454240221200 in words is "forty-three trillion, four hundred fifty-four billion, two hundred forty million, two hundred twenty-one thousand, two hundred".