43400448000 has 1920 divisors, whose sum is σ = 207774927360. Its totient is φ = 8758886400.

The previous prime is 43400447947. The next prime is 43400448001. The reversal of 43400448000 is 84400434.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43400448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1886975989 + ... + 1886976011.

It is an arithmetic number, because the mean of its divisors is an integer number (108216108).

Almost surely, 2^43400448000 is an apocalyptic number.

43400448000 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 43400448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103887463680).

43400448000 is an abundant number, since it is smaller than the sum of its proper divisors (164374479360).

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

43400448000 is a wasteful number, since it uses less digits than its factorization.

43400448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 43400448000 its reverse (84400434), we get a palindrome (43484848434).

The spelling of 43400448000 in words is "forty-three billion, four hundred million, four hundred forty-eight thousand".