429244606080 has 768 divisors, whose sum is σ = 1584682444800. Its totient is φ = 106836516864.

The previous prime is 429244606069. The next prime is 429244606093. The reversal of 429244606080 is 80606442924.

429244606080 is a `hidden beast` number, since 42 + 92 + 4 + 460 + 60 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1132571331 + ... + 1132571709.

It is an arithmetic number, because the mean of its divisors is an integer number (2063388600).

Almost surely, 2^429244606080 is an apocalyptic number.

429244606080 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 429244606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792341222400).

429244606080 is an abundant number, since it is smaller than the sum of its proper divisors (1155437838720).

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

429244606080 is a wasteful number, since it uses less digits than its factorization.

429244606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 429244606080 in words is "four hundred twenty-nine billion, two hundred forty-four million, six hundred six thousand, eighty".