4133271168 has 384 divisors, whose sum is σ = 13722508800. Its totient is φ = 1184440320.

The previous prime is 4133271083. The next prime is 4133271179. The reversal of 4133271168 is 8611723314.

It is a happy number.

4133271168 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 a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13463271 + ... + 13463577.

It is an arithmetic number, because the mean of its divisors is an integer number (35735700).

Almost surely, 2^4133271168 is an apocalyptic number.

4133271168 is a gapful number since it is divisible by the number (48) 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 4133271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861254400).

4133271168 is an abundant number, since it is smaller than the sum of its proper divisors (9589237632).

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

4133271168 is a wasteful number, since it uses less digits than its factorization.

4133271168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4133271168 is about 64290.5216031104. The cubic root of 4133271168 is about 1604.8383707737.

The spelling of 4133271168 in words is "four billion, one hundred thirty-three million, two hundred seventy-one thousand, one hundred sixty-eight".