4461060096 has 252 divisors, whose sum is σ = 13542908652. Its totient is φ = 1469104128.

The previous prime is 4461060091. The next prime is 4461060101. The reversal of 4461060096 is 6900601644.

4461060096 is a `hidden beast` number, since 4 + 46 + 1 + 0 + 600 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4461060091) and next prime (4461060101).

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 4461060096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461060091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53747671 + ... + 53747753.

It is an arithmetic number, because the mean of its divisors is an integer number (53741701).

Almost surely, 2^4461060096 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 4461060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771454326).

4461060096 is an abundant number, since it is smaller than the sum of its proper divisors (9081848556).

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

4461060096 is an frugal number, since it uses more digits than its factorization.

4461060096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4461060096 is about 66791.1677993431. The cubic root of 4461060096 is about 1646.1877209331.

The spelling of 4461060096 in words is "four billion, four hundred sixty-one million, sixty thousand, ninety-six".