429863680000 has 240 divisors, whose sum is σ = 1100383764480. Its totient is φ = 167731200000.

The previous prime is 429863679967. The next prime is 429863680031. The reversal of 429863680000 is 86368924.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52475905 + ... + 52484095.

It is an arithmetic number, because the mean of its divisors is an integer number (4584932352).

Almost surely, 2^429863680000 is an apocalyptic number.

429863680000 is a gapful number since it is divisible by the number (40) 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 429863680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550191882240).

429863680000 is an abundant number, since it is smaller than the sum of its proper divisors (670520084480).

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

429863680000 is an frugal number, since it uses more digits than its factorization.

429863680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 429863680000 in words is "four hundred twenty-nine billion, eight hundred sixty-three million, six hundred eighty thousand".