429788268000 has 2304 divisors, whose sum is σ = 2009750206464. Its totient is φ = 87787929600.

The previous prime is 429788267989. The next prime is 429788268029. The reversal of 429788268000 is 862887924.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3803435944 + ... + 3803436056.

It is an arithmetic number, because the mean of its divisors is an integer number (872287416).

Almost surely, 2^429788268000 is an apocalyptic number.

429788268000 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 429788268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004875103232).

429788268000 is an abundant number, since it is smaller than the sum of its proper divisors (1579961938464).

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

429788268000 is a wasteful number, since it uses less digits than its factorization.

429788268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 429788268000 in words is "four hundred twenty-nine billion, seven hundred eighty-eight million, two hundred sixty-eight thousand".