429948242853920 has 192 divisors, whose sum is σ = 1187932986003456. Its totient is φ = 143973457689600.

The previous prime is 429948242853911. The next prime is 429948242853929. The reversal of 429948242853920 is 29358242849924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (429948242853911) and next prime (429948242853929).

It is not an unprimeable number, because it can be changed into a prime (429948242853929) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 774472445 + ... + 775027395.

It is an arithmetic number, because the mean of its divisors is an integer number (6187150968768).

Almost surely, 2^{429948242853920} is an apocalyptic number.

429948242853920 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 429948242853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593966493001728).

429948242853920 is an abundant number, since it is smaller than the sum of its proper divisors (757984743149536).

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

429948242853920 is a wasteful number, since it uses less digits than its factorization.

429948242853920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571103 (or 571095 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 71.

The spelling of 429948242853920 in words is "four hundred twenty-nine trillion, nine hundred forty-eight billion, two hundred forty-two million, eight hundred fifty-three thousand, nine hundred twenty".