4461056700 has 288 divisors, whose sum is σ = 14363080704. Its totient is φ = 1064079360.

The previous prime is 4461056671. The next prime is 4461056707. The reversal of 4461056700 is 76501644.

It is a super-2 number, since 2×4461056700² = 39802053761229780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461056707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8868649 + ... + 8869151.

It is an arithmetic number, because the mean of its divisors is an integer number (49871808).

Almost surely, 2^4461056700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461056700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181540352).

4461056700 is an abundant number, since it is smaller than the sum of its proper divisors (9902024004).

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

4461056700 is a wasteful number, since it uses less digits than its factorization.

4461056700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4461056700 is about 66791.1423768152. The cubic root of 4461056700 is about 1646.1873032106.

The spelling of 4461056700 in words is "four billion, four hundred sixty-one million, fifty-six thousand, seven hundred".