429340257216 has 448 divisors, whose sum is σ = 1442197532160. Its totient is φ = 124077588480.

The previous prime is 429340257211. The next prime is 429340257299. The reversal of 429340257216 is 612752043924.

429340257216 is a `hidden beast` number, since 4 + 29 + 3 + 40 + 2 + 572 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429340257211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263883795 + ... + 263885421.

It is an arithmetic number, because the mean of its divisors is an integer number (3219190920).

Almost surely, 2^429340257216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429340257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721098766080).

429340257216 is an abundant number, since it is smaller than the sum of its proper divisors (1012857274944).

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

429340257216 is a wasteful number, since it uses less digits than its factorization.

429340257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 429340257216 in words is "four hundred twenty-nine billion, three hundred forty million, two hundred fifty-seven thousand, two hundred sixteen".