429749735808 has 128 divisors (see below), whose sum is σ = 1208977211520. Its totient is φ = 134789308416.

The previous prime is 429749735801. The next prime is 429749735837. The reversal of 429749735808 is 808537947924.

It is a Cunningham number, because it is equal to 655553²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429749735801) 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, 41950335 + ... + 41960577.

It is an arithmetic number, because the mean of its divisors is an integer number (9445134465).

Almost surely, 2^429749735808 is an apocalyptic number.

429749735808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429749735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604488605760).

429749735808 is an abundant number, since it is smaller than the sum of its proper divisors (779227475712).

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

429749735808 is a wasteful number, since it uses less digits than its factorization.

429749735808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16704 (or 16692 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 429749735808 in words is "four hundred twenty-nine billion, seven hundred forty-nine million, seven hundred thirty-five thousand, eight hundred eight".