4271956128 has 144 divisors (see below), whose sum is σ = 13710060000. Its totient is φ = 1249866240.

The previous prime is 4271956127. The next prime is 4271956151. The reversal of 4271956128 is 8216591724.

4271956128 = 514³ + 515³ + ... + 542³.

4271956128 is a `hidden beast` number, since 4 + 27 + 1 + 9 + 5 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4271956127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68623 + ... + 115121.

It is an arithmetic number, because the mean of its divisors is an integer number (95208750).

Almost surely, 2^4271956128 is an apocalyptic number.

4271956128 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 4271956128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030000).

4271956128 is an abundant number, since it is smaller than the sum of its proper divisors (9438103872).

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

4271956128 is a wasteful number, since it uses less digits than its factorization.

4271956128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46555 (or 46544 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 4271956128 is about 65360.2029372614. The cubic root of 4271956128 is about 1622.5904964627.

The spelling of 4271956128 in words is "four billion, two hundred seventy-one million, nine hundred fifty-six thousand, one hundred twenty-eight".