4151846160 has 800 divisors, whose sum is σ = 18434034432. Its totient is φ = 841052160.

The previous prime is 4151846159. The next prime is 4151846243. The reversal of 4151846160 is 616481514.

4151846160 is a `hidden beast` number, since 41 + 518 + 46 + 1 + 60 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26444802 + ... + 26444958.

Almost surely, 2^4151846160 is an apocalyptic number.

4151846160 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 4151846160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217017216).

4151846160 is an abundant number, since it is smaller than the sum of its proper divisors (14282188272).

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

4151846160 is a wasteful number, since it uses less digits than its factorization.

4151846160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4151846160 is about 64434.8210209356. The cubic root of 4151846160 is about 1607.2388355633.

It can be divided in two parts, 41518 and 46160, that added together give a palindrome (87678).

The spelling of 4151846160 in words is "four billion, one hundred fifty-one million, eight hundred forty-six thousand, one hundred sixty".