421300224312000 has 1792 divisors, whose sum is σ = 1637021498112000. Its totient is φ = 94327799808000.

The previous prime is 421300224311969. The next prime is 421300224312013. The reversal of 421300224312000 is 213422003124.

It is a happy number.

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 255 ways as a sum of consecutive naturals, for example, 203625046966 + ... + 203625049034.

It is an arithmetic number, because the mean of its divisors is an integer number (913516461000).

Almost surely, 2^{421300224312000} is an apocalyptic number.

421300224312000 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 421300224312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818510749056000).

421300224312000 is an abundant number, since it is smaller than the sum of its proper divisors (1215721273800000).

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

421300224312000 is a wasteful number, since it uses less digits than its factorization.

421300224312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 421300224312000 its reverse (213422003124), we get a palindrome (421513646315124).

The spelling of 421300224312000 in words is "four hundred twenty-one trillion, three hundred billion, two hundred twenty-four million, three hundred twelve thousand".