420947552256 has 384 divisors, whose sum is σ = 1406136775680. Its totient is φ = 108793036800.

The previous prime is 420947552243. The next prime is 420947552287. The reversal of 420947552256 is 652255749024.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 420947552199 and 420947552208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99819460 + ... + 99823676.

It is an arithmetic number, because the mean of its divisors is an integer number (3661814520).

Almost surely, 2^420947552256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420947552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703068387840).

420947552256 is an abundant number, since it is smaller than the sum of its proper divisors (985189223424).

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

420947552256 is a wasteful number, since it uses less digits than its factorization.

420947552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 420947552256 in words is "four hundred twenty billion, nine hundred forty-seven million, five hundred fifty-two thousand, two hundred fifty-six".