420921710936064 has 1224 divisors, whose sum is σ = 1412834472962640. Its totient is φ = 125025172586496.

The previous prime is 420921710936057. The next prime is 420921710936071. The reversal of 420921710936064 is 460639017129024.

420921710936064 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 2 + 17 + 10 + 9 + 3 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (420921710936057) and next prime (420921710936071).

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

It is a self number, because there is not a number n which added to its sum of digits gives 420921710936064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78049637752 + ... + 78049643144.

Almost surely, 2^{420921710936064} 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 420921710936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706417236481320).

420921710936064 is an abundant number, since it is smaller than the sum of its proper divisors (991912762026576).

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

420921710936064 is an frugal number, since it uses more digits than its factorization.

420921710936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 420921710936064 in words is "four hundred twenty trillion, nine hundred twenty-one billion, seven hundred ten million, nine hundred thirty-six thousand, sixty-four".