420923327328 has 480 divisors, whose sum is σ = 1473638842368. Its totient is φ = 115352294400.

The previous prime is 420923327299. The next prime is 420923327329. The reversal of 420923327328 is 823723329024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420923327329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47659873 + ... + 47668703.

Almost surely, 2^420923327328 is an apocalyptic number.

420923327328 is a gapful number since it is divisible by the number (48) 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 420923327328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736819421184).

420923327328 is an abundant number, since it is smaller than the sum of its proper divisors (1052715515040).

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

420923327328 is a wasteful number, since it uses less digits than its factorization.

420923327328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 420923327328 in words is "four hundred twenty billion, nine hundred twenty-three million, three hundred twenty-seven thousand, three hundred twenty-eight".