4071958128 has 200 divisors, whose sum is σ = 13904506880. Its totient is φ = 1125809280.

The previous prime is 4071958103. The next prime is 4071958139. The reversal of 4071958128 is 8218591704.

4071958128 is a `hidden beast` number, since 40 + 7 + 1 + 9 + 581 + 28 = 666.

4071958128 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273993 + ... + 288471.

Almost surely, 2^4071958128 is an apocalyptic number.

4071958128 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 4071958128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952253440).

4071958128 is an abundant number, since it is smaller than the sum of its proper divisors (9832548752).

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

4071958128 is a wasteful number, since it uses less digits than its factorization.

4071958128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14537 (or 14522 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4071958128 is about 63811.8964457255. The cubic root of 4071958128 is about 1596.8634030344.

The spelling of 4071958128 in words is "four billion, seventy-one million, nine hundred fifty-eight thousand, one hundred twenty-eight".