421322224313320 has 512 divisors, whose sum is σ = 1126879333493760. Its totient is φ = 140202196992000.

The previous prime is 421322224313317. The next prime is 421322224313323. The reversal of 421322224313320 is 23313422223124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (421322224313317) and next prime (421322224313323).

It is not an unprimeable number, because it can be changed into a prime (421322224313323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57549815260 + ... + 57549822580.

It is an arithmetic number, because the mean of its divisors is an integer number (2200936198230).

Almost surely, 2^{421322224313320} is an apocalyptic number.

421322224313320 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 421322224313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563439666746880).

421322224313320 is an abundant number, since it is smaller than the sum of its proper divisors (705557109180440).

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

421322224313320 is a wasteful number, since it uses less digits than its factorization.

421322224313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10077 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 421322224313320 its reverse (23313422223124), we get a palindrome (444635646536444).

The spelling of 421322224313320 in words is "four hundred twenty-one trillion, three hundred twenty-two billion, two hundred twenty-four million, three hundred thirteen thousand, three hundred twenty".