4234264904160 has 480 divisors, whose sum is σ = 15418298095200. Its totient is φ = 1093653135360.

The previous prime is 4234264904137. The next prime is 4234264904161. The reversal of 4234264904160 is 614094624324.

4234264904160 is a `hidden beast` number, since 4 + 2 + 342 + 64 + 90 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234264904161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73830376 + ... + 73887704.

It is an arithmetic number, because the mean of its divisors is an integer number (32121454365).

Almost surely, 2^{4234264904160} is an apocalyptic number.

4234264904160 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 4234264904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709149047600).

4234264904160 is an abundant number, since it is smaller than the sum of its proper divisors (11184033191040).

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

4234264904160 is a wasteful number, since it uses less digits than its factorization.

4234264904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57536 (or 57519 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4234264904160 in words is "four trillion, two hundred thirty-four billion, two hundred sixty-four million, nine hundred four thousand, one hundred sixty".