429806442221 has 8 divisors (see below), whose sum is σ = 467114977560. Its totient is φ = 393104549952.

The previous prime is 429806442217. The next prime is 429806442239. The reversal of 429806442221 is 122244608924.

It can be written as a sum of positive squares in 4 ways, for example, as 52011819721 + 377794622500 = 228061^2 + 614650^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 429806442221 - 2² = 429806442217 is a prime.

It is a super-2 number, since 2×429806442221² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429806442271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151659290 + ... + 151662123.

It is an arithmetic number, because the mean of its divisors is an integer number (58389372195).

Almost surely, 2^429806442221 is an apocalyptic number.

It is an amenable number.

429806442221 is a deficient number, since it is larger than the sum of its proper divisors (37308535339).

429806442221 is a wasteful number, since it uses less digits than its factorization.

429806442221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303321535.

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 429806442221 in words is "four hundred twenty-nine billion, eight hundred six million, four hundred forty-two thousand, two hundred twenty-one".