4151153160 has 768 divisors, whose sum is σ = 18632540160. Its totient is φ = 774512640.

The previous prime is 4151153113. The next prime is 4151153213. The reversal of 4151153160 is 613511514.

4151153160 is a `hidden beast` number, since 41 + 511 + 53 + 1 + 60 = 666.

4151153160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10838329 + ... + 10838711.

It is an arithmetic number, because the mean of its divisors is an integer number (24261120).

Almost surely, 2^4151153160 is an apocalyptic number.

4151153160 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 4151153160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316270080).

4151153160 is an abundant number, since it is smaller than the sum of its proper divisors (14481387000).

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

4151153160 is a wasteful number, since it uses less digits than its factorization.

4151153160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 4151153160 is about 64429.4432693625. The cubic root of 4151153160 is about 1607.1494071945.

Adding to 4151153160 its reverse (613511514), we get a palindrome (4764664674).

The spelling of 4151153160 in words is "four billion, one hundred fifty-one million, one hundred fifty-three thousand, one hundred sixty".