420643565346024 has 64 divisors (see below), whose sum is σ = 1200034195454400. Its totient is φ = 136424940109632.

The previous prime is 420643565346013. The next prime is 420643565346049.

420643565346024 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 43 + 5 + 6 + 534 + 60 + 2 + 4 = 666.

420643565346024 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26316531382 + ... + 26316547365.

It is an arithmetic number, because the mean of its divisors is an integer number (18750534303975).

Almost surely, 2^{420643565346024} is an apocalyptic number.

It is an amenable number.

420643565346024 is an abundant number, since it is smaller than the sum of its proper divisors (779390630108376).

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

420643565346024 is a wasteful number, since it uses less digits than its factorization.

420643565346024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52633078799 (or 52633078789 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 420643565346024 in words is "four hundred twenty trillion, six hundred forty-three billion, five hundred sixty-five million, three hundred forty-six thousand, twenty-four".