429868104736 has 288 divisors, whose sum is σ = 1050821517312. Its totient is φ = 172314616320.

The previous prime is 429868104709. The next prime is 429868104769. The reversal of 429868104736 is 637401868924.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189618675 + ... + 189620941.

It is an arithmetic number, because the mean of its divisors is an integer number (3648685824).

Almost surely, 2^429868104736 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 429868104736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525410758656).

429868104736 is an abundant number, since it is smaller than the sum of its proper divisors (620953412576).

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

429868104736 is a wasteful number, since it uses less digits than its factorization.

429868104736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 429868104736 in words is "four hundred twenty-nine billion, eight hundred sixty-eight million, one hundred four thousand, seven hundred thirty-six".