421144019234400 has 576 divisors, whose sum is σ = 1709170507086336. Its totient is φ = 87505760256000.

The previous prime is 421144019234383. The next prime is 421144019234423. The reversal of 421144019234400 is 4432910441124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4254231304 + ... + 4254330296.

It is an arithmetic number, because the mean of its divisors is an integer number (2967309908136).

Almost surely, 2^{421144019234400} is an apocalyptic number.

421144019234400 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 421144019234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854585253543168).

421144019234400 is an abundant number, since it is smaller than the sum of its proper divisors (1288026487851936).

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

421144019234400 is a wasteful number, since it uses less digits than its factorization.

421144019234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122055 (or 122042 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 421144019234400 its reverse (4432910441124), we get a palindrome (425576929675524).

The spelling of 421144019234400 in words is "four hundred twenty-one trillion, one hundred forty-four billion, nineteen million, two hundred thirty-four thousand, four hundred".