420423443334400 has 216 divisors, whose sum is σ = 1145824466228064. Its totient is φ = 151452452659200.

The previous prime is 420423443334359. The next prime is 420423443334413. The reversal of 420423443334400 is 4433344324024.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20373387 + ... + 35438986.

It is an arithmetic number, because the mean of its divisors is an integer number (5304742899204).

Almost surely, 2^{420423443334400} is an apocalyptic number.

420423443334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420423443334400 is an abundant number, since it is smaller than the sum of its proper divisors (725401022893664).

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

420423443334400 is a wasteful number, since it uses less digits than its factorization.

420423443334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55812517 (or 55812498 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 420423443334400 its reverse (4433344324024), we get a palindrome (424856787658424).

The spelling of 420423443334400 in words is "four hundred twenty trillion, four hundred twenty-three billion, four hundred forty-three million, three hundred thirty-four thousand, four hundred".