429828002579136 has 56 divisors (see below), whose sum is σ = 1299718007802880. Its totient is φ = 122808000736512.

The previous prime is 429828002579099. The next prime is 429828002579137. The reversal of 429828002579136 is 631975200828924.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×429828002579136² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429828002579137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159906249616 + ... + 159906252303.

It is a 1-persistent number, because it is pandigital, but 2⋅429828002579136 = 859656005158272 is not.

Almost surely, 2^{429828002579136} is an apocalyptic number.

It is an amenable number.

429828002579136 is an abundant number, since it is smaller than the sum of its proper divisors (869890005223744).

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

429828002579136 is a wasteful number, since it uses less digits than its factorization.

429828002579136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319812501941 (or 319812501931 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 429828002579136 in words is "four hundred twenty-nine trillion, eight hundred twenty-eight billion, two million, five hundred seventy-nine thousand, one hundred thirty-six".