429946542720 has 192 divisors, whose sum is σ = 1492199434440. Its totient is φ = 114070118400.

The previous prime is 429946542671. The next prime is 429946542743. The reversal of 429946542720 is 27245649924.

429946542720 is a `hidden beast` number, since 4 + 2 + 9 + 94 + 6 + 542 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411578703936 + 18367838784 = 641544^2 + 135528^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945270 + ... + 1324170.

Almost surely, 2^429946542720 is an apocalyptic number.

429946542720 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 429946542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746099717220).

429946542720 is an abundant number, since it is smaller than the sum of its proper divisors (1062252891720).

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

429946542720 is a wasteful number, since it uses less digits than its factorization.

429946542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379123 (or 379108 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 429946542720 in words is "four hundred twenty-nine billion, nine hundred forty-six million, five hundred forty-two thousand, seven hundred twenty".