420331328000 has 160 divisors (see below), whose sum is σ = 1049144279040. Its totient is φ = 167968665600.

The previous prime is 420331327991. The next prime is 420331328057. The reversal of 420331328000 is 823133024.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82109441 + ... + 82114559.

It is an arithmetic number, because the mean of its divisors is an integer number (6557151744).

Almost surely, 2^420331328000 is an apocalyptic number.

420331328000 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 420331328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524572139520).

420331328000 is an abundant number, since it is smaller than the sum of its proper divisors (628812951040).

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

420331328000 is an equidigital number, since it uses as much as digits as its factorization.

420331328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 420331328000 in words is "four hundred twenty billion, three hundred thirty-one million, three hundred twenty-eight thousand".