42443124400 has 120 divisors (see below), whose sum is σ = 104722922304. Its totient is φ = 16522905600.

The previous prime is 42443124397. The next prime is 42443124439. The reversal of 42443124400 is 442134424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396564 + ... + 3409036.

Almost surely, 2^42443124400 is an apocalyptic number.

42443124400 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 42443124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52361461152).

42443124400 is an abundant number, since it is smaller than the sum of its proper divisors (62279797904).

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

42443124400 is a wasteful number, since it uses less digits than its factorization.

42443124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42443124400 its reverse (442134424), we get a palindrome (42885258824).

The spelling of 42443124400 in words is "forty-two billion, four hundred forty-three million, one hundred twenty-four thousand, four hundred".