424042044400 has 120 divisors (see below), whose sum is σ = 1097389717424. Its totient is φ = 156531916800.

The previous prime is 424042044397. The next prime is 424042044443. The reversal of 424042044400 is 4440240424.

It is a congruent number.

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, 31541680 + ... + 31555120.

Almost surely, 2^424042044400 is an apocalyptic number.

424042044400 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 424042044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548694858712).

424042044400 is an abundant number, since it is smaller than the sum of its proper divisors (673347673024).

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

424042044400 is a wasteful number, since it uses less digits than its factorization.

424042044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19539 (or 19528 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 424042044400 its reverse (4440240424), we get a palindrome (428482284824).

The spelling of 424042044400 in words is "four hundred twenty-four billion, forty-two million, forty-four thousand, four hundred".