428021459712 has 864 divisors, whose sum is σ = 1679928606720. Its totient is φ = 105300725760.

The previous prime is 428021459669. The next prime is 428021459713. The reversal of 428021459712 is 217954120824.

428021459712 is a `hidden beast` number, since 4 + 28 + 0 + 21 + 4 + 597 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (428021459713) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 91007953 + ... + 91012655.

Almost surely, 2^428021459712 is an apocalyptic number.

428021459712 is a gapful number since it is divisible by the number (42) 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 428021459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839964303360).

428021459712 is an abundant number, since it is smaller than the sum of its proper divisors (1251907147008).

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

428021459712 is a wasteful number, since it uses less digits than its factorization.

428021459712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 428021459712 in words is "four hundred twenty-eight billion, twenty-one million, four hundred fifty-nine thousand, seven hundred twelve".