4128954912 has 288 divisors, whose sum is σ = 12715702272. Its totient is φ = 1316818944.

The previous prime is 4128954889. The next prime is 4128954941. The reversal of 4128954912 is 2194598214.

It is a happy number.

4128954912 is a `hidden beast` number, since 4 + 12 + 89 + 549 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 32511393 + ... + 32511519.

It is an arithmetic number, because the mean of its divisors is an integer number (44151744).

Almost surely, 2^4128954912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128954912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357851136).

4128954912 is an abundant number, since it is smaller than the sum of its proper divisors (8586747360).

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

4128954912 is a wasteful number, since it uses less digits than its factorization.

4128954912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 4128954912 is about 64256.9444651705. The cubic root of 4128954912 is about 1604.2795473826.

The spelling of 4128954912 in words is "four billion, one hundred twenty-eight million, nine hundred fifty-four thousand, nine hundred twelve".