429666666924 has 48 divisors (see below), whose sum is σ = 1119131798400. Its totient is φ = 127174064640.

The previous prime is 429666666857. The next prime is 429666666929.

429666666924 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×429666666924² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (429666666929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37843749 + ... + 37855100.

It is an arithmetic number, because the mean of its divisors is an integer number (23315245800).

Almost surely, 2^429666666924 is an apocalyptic number.

429666666924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429666666924 is an abundant number, since it is smaller than the sum of its proper divisors (689465131476).

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

429666666924 is a wasteful number, since it uses less digits than its factorization.

429666666924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75698910 (or 75698908 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 66.

The spelling of 429666666924 in words is "four hundred twenty-nine billion, six hundred sixty-six million, six hundred sixty-six thousand, nine hundred twenty-four".