421220324400 has 240 divisors, whose sum is σ = 1396062074880. Its totient is φ = 108450201600.

The previous prime is 421220324389. The next prime is 421220324411. The reversal of 421220324400 is 4423022124.

It is an interprime number because it is at equal distance from previous prime (421220324389) and next prime (421220324411).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16317904 + ... + 16343696.

It is an arithmetic number, because the mean of its divisors is an integer number (5816925312).

Almost surely, 2^421220324400 is an apocalyptic number.

421220324400 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 421220324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698031037440).

421220324400 is an abundant number, since it is smaller than the sum of its proper divisors (974841750480).

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

421220324400 is a wasteful number, since it uses less digits than its factorization.

421220324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26284 (or 26273 counting only the distinct ones).

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

Adding to 421220324400 its reverse (4423022124), we get a palindrome (425643346524).

The spelling of 421220324400 in words is "four hundred twenty-one billion, two hundred twenty million, three hundred twenty-four thousand, four hundred".