420354332455221 has 20 divisors (see below), whose sum is σ = 627988406611500. Its totient is φ = 280213154372736.

The previous prime is 420354332455171. The next prime is 420354332455241. The reversal of 420354332455221 is 122554233453024.

It is a happy number.

420354332455221 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 5 + 43 + 32 + 4 + 552 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365025861922500 + 55328470532721 = 19105650^2 + 7438311^2 .

It is not a de Polignac number, because 420354332455221 - 2⁶ = 420354332455157 is a prime.

It is a super-3 number, since 3×420354332455221³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420354332455241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212595636 + ... + 214563773.

It is an arithmetic number, because the mean of its divisors is an integer number (31399420330575).

Almost surely, 2^{420354332455221} is an apocalyptic number.

It is an amenable number.

420354332455221 is a deficient number, since it is larger than the sum of its proper divisors (207634074156279).

420354332455221 is a wasteful number, since it uses less digits than its factorization.

420354332455221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427171570 (or 427171561 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 420354332455221 in words is "four hundred twenty trillion, three hundred fifty-four billion, three hundred thirty-two million, four hundred fifty-five thousand, two hundred twenty-one".