429828964992 has 640 divisors, whose sum is σ = 1519013865600. Its totient is φ = 118049218560.

The previous prime is 429828964967. The next prime is 429828965009. The reversal of 429828964992 is 299469828924.

429828964992 is a `hidden beast` number, since 4 + 29 + 8 + 28 + 96 + 499 + 2 = 666.

It is a super-3 number, since 3×429828964992³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 429828964992.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 932383642 + ... + 932384102.

It is an arithmetic number, because the mean of its divisors is an integer number (2373459165).

Almost surely, 2^429828964992 is an apocalyptic number.

429828964992 is a gapful number since it is divisible by the number (42) 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 429828964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759506932800).

429828964992 is an abundant number, since it is smaller than the sum of its proper divisors (1089184900608).

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

429828964992 is a wasteful number, since it uses less digits than its factorization.

429828964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 945 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 429828964992 in words is "four hundred twenty-nine billion, eight hundred twenty-eight million, nine hundred sixty-four thousand, nine hundred ninety-two".