4561180416 has 288 divisors, whose sum is σ = 15164190720. Its totient is φ = 1341812736.

The previous prime is 4561180411. The next prime is 4561180417. The reversal of 4561180416 is 6140811654.

4561180416 is a `hidden beast` number, since 4 + 5 + 61 + 180 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4561180411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2065585 + ... + 2067791.

It is an arithmetic number, because the mean of its divisors is an integer number (52653440).

Almost surely, 2^4561180416 is an apocalyptic number.

4561180416 is a gapful number since it is divisible by the number (46) 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 4561180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582095360).

4561180416 is an abundant number, since it is smaller than the sum of its proper divisors (10603010304).

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

4561180416 is a wasteful number, since it uses less digits than its factorization.

4561180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4561180416 is about 67536.5117251402. The cubic root of 4561180416 is about 1658.4119442636.

The spelling of 4561180416 in words is "four billion, five hundred sixty-one million, one hundred eighty thousand, four hundred sixteen".