43412242400 has 144 divisors (see below), whose sum is σ = 110735100000. Its totient is φ = 16587816960.

The previous prime is 43412242381. The next prime is 43412242409. The reversal of 43412242400 is 424221434.

It is a happy number.

43412242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 43412242400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43412242409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22980656 + ... + 22982544.

It is an arithmetic number, because the mean of its divisors is an integer number (768993750).

Almost surely, 2^43412242400 is an apocalyptic number.

43412242400 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 43412242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55367550000).

43412242400 is an abundant number, since it is smaller than the sum of its proper divisors (67322857600).

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

43412242400 is a wasteful number, since it uses less digits than its factorization.

43412242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 43412242400 its reverse (424221434), we get a palindrome (43836463834).

The spelling of 43412242400 in words is "forty-three billion, four hundred twelve million, two hundred forty-two thousand, four hundred".