420466949424 has 120 divisors (see below), whose sum is σ = 1182033844992. Its totient is φ = 139523928960.

The previous prime is 420466949423. The next prime is 420466949447. The reversal of 420466949424 is 424949664024.

420466949424 is a `hidden beast` number, since 4 + 2 + 0 + 466 + 94 + 94 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (420466949423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69946579 + ... + 69952589.

Almost surely, 2^420466949424 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 420466949424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591016922496).

420466949424 is an abundant number, since it is smaller than the sum of its proper divisors (761566895568).

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

420466949424 is a wasteful number, since it uses less digits than its factorization.

420466949424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 420466949424 in words is "four hundred twenty billion, four hundred sixty-six million, nine hundred forty-nine thousand, four hundred twenty-four".