420256585984 has 81 divisors (see below), whose sum is σ = 867468541611. Its totient is φ = 203194375680.

The previous prime is 420256585979. The next prime is 420256585993. The reversal of 420256585984 is 489585652024.

The square root of 420256585984 is 648272.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 321542259 + ... + 321543565.

Almost surely, 2^420256585984 is an apocalyptic number.

420256585984 is the 648272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420256585984

420256585984 is an abundant number, since it is smaller than the sum of its proper divisors (447211955627).

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

420256585984 is an frugal number, since it uses more digits than its factorization.

420256585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 58.

The spelling of 420256585984 in words is "four hundred twenty billion, two hundred fifty-six million, five hundred eighty-five thousand, nine hundred eighty-four".