421224907200 has 672 divisors, whose sum is σ = 1503493056000. Its totient is φ = 102925025280.

The previous prime is 421224907199. The next prime is 421224907241. The reversal of 421224907200 is 2709422124.

It is a super-2 number, since 2×421224907200² (a number of 24 digits) contains 22 as substring.

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, 477037959 + ... + 477038841.

Almost surely, 2^421224907200 is an apocalyptic number.

421224907200 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 421224907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751746528000).

421224907200 is an abundant number, since it is smaller than the sum of its proper divisors (1082268148800).

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

421224907200 is a wasteful number, since it uses less digits than its factorization.

421224907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 421224907200 in words is "four hundred twenty-one billion, two hundred twenty-four million, nine hundred seven thousand, two hundred".