429285430000 has 200 divisors, whose sum is σ = 1250341262720. Its totient is φ = 139436640000.

The previous prime is 429285429971. The next prime is 429285430001. The reversal of 429285430000 is 34582924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×429285430000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429285430001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1168615 + ... + 1491385.

Almost surely, 2^429285430000 is an apocalyptic number.

429285430000 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 429285430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625170631360).

429285430000 is an abundant number, since it is smaller than the sum of its proper divisors (821055832720).

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

429285430000 is a wasteful number, since it uses less digits than its factorization.

429285430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322825 (or 322804 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 429285430000 in words is "four hundred twenty-nine billion, two hundred eighty-five million, four hundred thirty thousand".