4091185152 has 192 divisors, whose sum is σ = 12208996800. Its totient is φ = 1353646080.

The previous prime is 4091185093. The next prime is 4091185159. The reversal of 4091185152 is 2515811904.

4091185152 is a `hidden beast` number, since 40 + 91 + 18 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (4091185159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13326183 + ... + 13326489.

It is an arithmetic number, because the mean of its divisors is an integer number (63588525).

Almost surely, 2^4091185152 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 4091185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104498400).

4091185152 is an abundant number, since it is smaller than the sum of its proper divisors (8117811648).

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

4091185152 is a wasteful number, since it uses less digits than its factorization.

4091185152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 4091185152 is about 63962.3729390960. The cubic root of 4091185152 is about 1599.3728208527.

The spelling of 4091185152 in words is "four billion, ninety-one million, one hundred eighty-five thousand, one hundred fifty-two".