423201224400 has 240 divisors, whose sum is σ = 1408318099968. Its totient is φ = 108516096000.

The previous prime is 423201224287. The next prime is 423201224417. The reversal of 423201224400 is 4422102324.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5804170 + ... + 5876630.

Almost surely, 2^423201224400 is an apocalyptic number.

423201224400 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 423201224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704159049984).

423201224400 is an abundant number, since it is smaller than the sum of its proper divisors (985116875568).

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

423201224400 is a wasteful number, since it uses less digits than its factorization.

423201224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72670 (or 72659 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 423201224400 its reverse (4422102324), we get a palindrome (427623326724).

The spelling of 423201224400 in words is "four hundred twenty-three billion, two hundred one million, two hundred twenty-four thousand, four hundred".