420232144200 has 192 divisors, whose sum is σ = 1426005604800. Its totient is φ = 101526297600.

The previous prime is 420232144169. The next prime is 420232144201. The reversal of 420232144200 is 2441232024.

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

It is not an unprimeable number, because it can be changed into a prime (420232144201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1825146 + ... + 2042454.

It is an arithmetic number, because the mean of its divisors is an integer number (7427112525).

Almost surely, 2^420232144200 is an apocalyptic number.

420232144200 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 420232144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713002802400).

420232144200 is an abundant number, since it is smaller than the sum of its proper divisors (1005773460600).

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

420232144200 is a wasteful number, since it uses less digits than its factorization.

420232144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217632 (or 217623 counting only the distinct ones).

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

Adding to 420232144200 its reverse (2441232024), we get a palindrome (422673376224).

The spelling of 420232144200 in words is "four hundred twenty billion, two hundred thirty-two million, one hundred forty-four thousand, two hundred".