420519721905 has 96 divisors (see below), whose sum is σ = 765059952384. Its totient is φ = 221566980096.

The previous prime is 420519721891. The next prime is 420519721907. The reversal of 420519721905 is 509127915024.

420519721905 is a `hidden beast` number, since 4 + 20 + 519 + 7 + 21 + 90 + 5 = 666.

It is not a de Polignac number, because 420519721905 - 2⁵ = 420519721873 is a prime.

It is a super-2 number, since 2×420519721905² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420519721907) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 72713644 + ... + 72719426.

It is an arithmetic number, because the mean of its divisors is an integer number (7969374504).

Almost surely, 2^420519721905 is an apocalyptic number.

420519721905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420519721905 is a deficient number, since it is larger than the sum of its proper divisors (344540230479).

420519721905 is an equidigital number, since it uses as much as digits as its factorization.

420519721905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 420519721905 in words is "four hundred twenty billion, five hundred nineteen million, seven hundred twenty-one thousand, nine hundred five".