429377283216 has 720 divisors, whose sum is σ = 1507630453888. Its totient is φ = 111675801600.

The previous prime is 429377283191. The next prime is 429377283229. The reversal of 429377283216 is 612382773924.

It is a happy number.

429377283216 is a `hidden beast` number, since 4 + 293 + 7 + 7 + 28 + 321 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1297212171 + ... + 1297212501.

Almost surely, 2^429377283216 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 429377283216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753815226944).

429377283216 is an abundant number, since it is smaller than the sum of its proper divisors (1078253170672).

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

429377283216 is a wasteful number, since it uses less digits than its factorization.

429377283216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 494 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 429377283216 in words is "four hundred twenty-nine billion, three hundred seventy-seven million, two hundred eighty-three thousand, two hundred sixteen".