421344320400 has 480 divisors, whose sum is σ = 1535824379520. Its totient is φ = 109680721920.

The previous prime is 421344320393. The next prime is 421344320447. The reversal of 421344320400 is 4023443124.

It is a happy number.

421344320400 is a `hidden beast` number, since 4 + 2 + 13 + 443 + 204 + 0 + 0 = 666.

It is a super-3 number, since 3×421344320400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 81764224 + ... + 81769376.

It is an arithmetic number, because the mean of its divisors is an integer number (3199634124).

Almost surely, 2^421344320400 is an apocalyptic number.

421344320400 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 421344320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767912189760).

421344320400 is an abundant number, since it is smaller than the sum of its proper divisors (1114480059120).

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

421344320400 is a wasteful number, since it uses less digits than its factorization.

421344320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 421344320400 its reverse (4023443124), we get a palindrome (425367763524).

The spelling of 421344320400 in words is "four hundred twenty-one billion, three hundred forty-four million, three hundred twenty thousand, four hundred".