4151132160 has 480 divisors, whose sum is σ = 16105635840. Its totient is φ = 891813888.

The previous prime is 4151132149. The next prime is 4151132171. The reversal of 4151132160 is 612311514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4151132149) and next prime (4151132171).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4151132160.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32686017 + ... + 32686143.

It is an arithmetic number, because the mean of its divisors is an integer number (33553408).

Almost surely, 2^4151132160 is an apocalyptic number.

4151132160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4151132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052817920).

4151132160 is an abundant number, since it is smaller than the sum of its proper divisors (11954503680).

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

4151132160 is a wasteful number, since it uses less digits than its factorization.

4151132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4151132160 is about 64429.2803001865. The cubic root of 4151132160 is about 1607.1466970885.

Adding to 4151132160 its reverse (612311514), we get a palindrome (4763443674).

The spelling of 4151132160 in words is "four billion, one hundred fifty-one million, one hundred thirty-two thousand, one hundred sixty".