4641251160 has 256 divisors, whose sum is σ = 17189544960. Its totient is φ = 976250880.

The previous prime is 4641251143. The next prime is 4641251171. The reversal of 4641251160 is 611521464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7021230 + ... + 7021890.

It is an arithmetic number, because the mean of its divisors is an integer number (67146660).

Almost surely, 2^4641251160 is an apocalyptic number.

4641251160 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 4641251160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8594772480).

4641251160 is an abundant number, since it is smaller than the sum of its proper divisors (12548293800).

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

4641251160 is a wasteful number, since it uses less digits than its factorization.

4641251160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4641251160 is about 68126.7286753151. The cubic root of 4641251160 is about 1668.0600850176.

The spelling of 4641251160 in words is "four billion, six hundred forty-one million, two hundred fifty-one thousand, one hundred sixty".