429639288960 has 256 divisors, whose sum is σ = 1565886700800. Its totient is φ = 98154823680.

The previous prime is 429639288943. The next prime is 429639288997. The reversal of 429639288960 is 69882936924.

It is a junction number, because it is equal to n+sod(n) for n = 429639288891 and 429639288900.

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, 32101470 + ... + 32114850.

It is an arithmetic number, because the mean of its divisors is an integer number (6116744925).

Almost surely, 2^429639288960 is an apocalyptic number.

429639288960 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 429639288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782943350400).

429639288960 is an abundant number, since it is smaller than the sum of its proper divisors (1136247411840).

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

429639288960 is a wasteful number, since it uses less digits than its factorization.

429639288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15799 (or 15787 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 66.

The spelling of 429639288960 in words is "four hundred twenty-nine billion, six hundred thirty-nine million, two hundred eighty-eight thousand, nine hundred sixty".