4461037056 has 480 divisors, whose sum is σ = 16086470400. Its totient is φ = 1161216000.

The previous prime is 4461037003. The next prime is 4461037057. The reversal of 4461037056 is 6507301644.

It is a happy number.

4461037056 is a `hidden beast` number, since 4 + 4 + 610 + 37 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4461037056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461037057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17772931 + ... + 17773181.

It is an arithmetic number, because the mean of its divisors is an integer number (33513480).

Almost surely, 2^4461037056 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 4461037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043235200).

4461037056 is an abundant number, since it is smaller than the sum of its proper divisors (11625433344).

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

4461037056 is a wasteful number, since it uses less digits than its factorization.

4461037056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4461037056 is about 66790.9953212257. The cubic root of 4461037056 is about 1646.1848869108.

The spelling of 4461037056 in words is "four billion, four hundred sixty-one million, thirty-seven thousand, fifty-six".