424320023444400 has 360 divisors, whose sum is σ = 1503916043123520. Its totient is φ = 110738792693760.

The previous prime is 424320023444381. The next prime is 424320023444407. The reversal of 424320023444400 is 4444320023424.

424320023444400 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 200 + 2 + 3 + 4 + 4 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (424320023444407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4004741824 + ... + 4004847776.

It is an arithmetic number, because the mean of its divisors is an integer number (4177544564232).

Almost surely, 2^{424320023444400} is an apocalyptic number.

424320023444400 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 424320023444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751958021561760).

424320023444400 is an abundant number, since it is smaller than the sum of its proper divisors (1079596019679120).

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

424320023444400 is a wasteful number, since it uses less digits than its factorization.

424320023444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129693 (or 129679 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 424320023444400 its reverse (4444320023424), we get a palindrome (428764343467824).

The spelling of 424320023444400 in words is "four hundred twenty-four trillion, three hundred twenty billion, twenty-three million, four hundred forty-four thousand, four hundred".