420463646364024 has 128 divisors (see below), whose sum is σ = 1237065013396800. Its totient is φ = 131866725703680.

The previous prime is 420463646363989. The next prime is 420463646364133.

420463646364024 is a `hidden beast` number, since 4 + 2 + 0 + 463 + 64 + 63 + 6 + 40 + 24 = 666.

420463646364024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7699857 + ... + 30003584.

Almost surely, 2^{420463646364024} is an apocalyptic number.

It is an amenable number.

420463646364024 is an abundant number, since it is smaller than the sum of its proper divisors (816601367032776).

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

420463646364024 is a wasteful number, since it uses less digits than its factorization.

420463646364024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37706510 (or 37706500 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

The spelling of 420463646364024 in words is "four hundred twenty trillion, four hundred sixty-three billion, six hundred forty-six million, three hundred sixty-four thousand, twenty-four".