4561220160 has 560 divisors, whose sum is σ = 19366845696. Its totient is φ = 996323328.

The previous prime is 4561220149. The next prime is 4561220179. The reversal of 4561220160 is 610221654.

4561220160 is a `hidden beast` number, since 45 + 612 + 2 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4172574 + ... + 4173666.

Almost surely, 2^4561220160 is an apocalyptic number.

4561220160 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 4561220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683422848).

4561220160 is an abundant number, since it is smaller than the sum of its proper divisors (14805625536).

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

4561220160 is a wasteful number, since it uses less digits than its factorization.

4561220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4561220160 is about 67536.8059653401. The cubic root of 4561220160 is about 1658.4167611258.

The spelling of 4561220160 in words is "four billion, five hundred sixty-one million, two hundred twenty thousand, one hundred sixty".