4541095152 has 480 divisors, whose sum is σ = 15575788800. Its totient is φ = 1229437440.

The previous prime is 4541095147. The next prime is 4541095193. The reversal of 4541095152 is 2515901454.

4541095152 is a `hidden beast` number, since 4 + 5 + 410 + 95 + 152 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105606843 + ... + 105606885.

It is an arithmetic number, because the mean of its divisors is an integer number (32449560).

Almost surely, 2^4541095152 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 4541095152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787894400).

4541095152 is an abundant number, since it is smaller than the sum of its proper divisors (11034693648).

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

4541095152 is a wasteful number, since it uses less digits than its factorization.

4541095152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 4541095152 is about 67387.6483637766. The cubic root of 4541095152 is about 1655.9740771689.

The spelling of 4541095152 in words is "four billion, five hundred forty-one million, ninety-five thousand, one hundred fifty-two".