420323321000000 has 784 divisors, whose sum is σ = 1188887662043136. Its totient is φ = 145944480000000.

The previous prime is 420323320999997. The next prime is 420323321000003. The reversal of 420323321000000 is 123323024.

It is an interprime number because it is at equal distance from previous prime (420323320999997) and next prime (420323321000003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (420323321000003) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 199110998945 + ... + 199111001055.

Almost surely, 2^{420323321000000} is an apocalyptic number.

420323321000000 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 420323321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594443831021568).

420323321000000 is an abundant number, since it is smaller than the sum of its proper divisors (768564341043136).

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

420323321000000 is an equidigital number, since it uses as much as digits as its factorization.

420323321000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 420323321000000 its reverse (123323024), we get a palindrome (420323444323024).

The spelling of 420323321000000 in words is "four hundred twenty trillion, three hundred twenty-three billion, three hundred twenty-one million", and thus it is an aban number.