420056464365 has 48 divisors (see below), whose sum is σ = 737463467520. Its totient is φ = 221149543680.

The previous prime is 420056464313. The next prime is 420056464427. The reversal of 420056464365 is 563464650024.

It is a happy number.

420056464365 is a `hidden beast` number, since 4 + 20 + 0 + 564 + 6 + 4 + 3 + 65 = 666.

It is not a de Polignac number, because 420056464365 - 2⁷ = 420056464237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 420056464365.

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 47 ways as a sum of consecutive naturals, for example, 24816105 + ... + 24833025.

It is an arithmetic number, because the mean of its divisors is an integer number (15363822240).

Almost surely, 2^420056464365 is an apocalyptic number.

420056464365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420056464365 is a deficient number, since it is larger than the sum of its proper divisors (317407003155).

420056464365 is a wasteful number, since it uses less digits than its factorization.

420056464365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23994 (or 23991 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 420056464365 in words is "four hundred twenty billion, fifty-six million, four hundred sixty-four thousand, three hundred sixty-five".