429015730429 has 24 divisors (see below), whose sum is σ = 537709588920. Its totient is φ = 338835932160.

The previous prime is 429015730397. The next prime is 429015730457. The reversal of 429015730429 is 924037510924.

It can be written as a sum of positive squares in 4 ways, for example, as 10878907204 + 418136823225 = 104302^2 + 646635^2 .

It is not a de Polignac number, because 429015730429 - 2⁵ = 429015730397 is a prime.

It is a super-4 number, since 4×429015730429⁴ (a number of 48 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429015730459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7994944 + ... + 8048425.

It is an arithmetic number, because the mean of its divisors is an integer number (22404566205).

Almost surely, 2^429015730429 is an apocalyptic number.

It is an amenable number.

429015730429 is a deficient number, since it is larger than the sum of its proper divisors (108693858491).

429015730429 is a wasteful number, since it uses less digits than its factorization.

429015730429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16043421 (or 16043410 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 429015730429 in words is "four hundred twenty-nine billion, fifteen million, seven hundred thirty thousand, four hundred twenty-nine".