429346849920 has 256 divisors, whose sum is σ = 1399204730880. Its totient is φ = 111932764160.

The previous prime is 429346849903. The next prime is 429346850057. The reversal of 429346849920 is 29948643924.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104947075 + ... + 104951165.

It is an arithmetic number, because the mean of its divisors is an integer number (5465643480).

Almost surely, 2^429346849920 is an apocalyptic number.

429346849920 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 429346849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699602365440).

429346849920 is an abundant number, since it is smaller than the sum of its proper divisors (969857880960).

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

429346849920 is a wasteful number, since it uses less digits than its factorization.

429346849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 429346849920 in words is "four hundred twenty-nine billion, three hundred forty-six million, eight hundred forty-nine thousand, nine hundred twenty".