429344893668096 has 1440 divisors, whose sum is σ = 1547974067978240. Its totient is φ = 118701351659520.

The previous prime is 429344893668043. The next prime is 429344893668101. The reversal of 429344893668096 is 690866398443924.

429344893668096 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 448 + 9 + 3 + 6 + 6 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41671827681 + ... + 41671837983.

Almost surely, 2^{429344893668096} 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 429344893668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773987033989120).

429344893668096 is an abundant number, since it is smaller than the sum of its proper divisors (1118629174310144).

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

429344893668096 is an frugal number, since it uses more digits than its factorization.

429344893668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10346 counting only the distinct ones).

The product of its (nonzero) digits is 11609505792, while the sum is 81.

The spelling of 429344893668096 in words is "four hundred twenty-nine trillion, three hundred forty-four billion, eight hundred ninety-three million, six hundred sixty-eight thousand, ninety-six".