4128041664 has 56 divisors (see below), whose sum is σ = 12135683120. Its totient is φ = 1376013312.

The previous prime is 4128041651. The next prime is 4128041717. The reversal of 4128041664 is 4661408214.

It is a happy number.

4128041664 is a `hidden beast` number, since 412 + 80 + 4 + 166 + 4 = 666.

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 7 ways as a sum of consecutive naturals, for example, 1192729 + ... + 1196184.

Almost surely, 2^4128041664 is an apocalyptic number.

It is an amenable number.

4128041664 is an abundant number, since it is smaller than the sum of its proper divisors (8007641456).

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

4128041664 is a wasteful number, since it uses less digits than its factorization.

4128041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388934 (or 2388918 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4128041664 is about 64249.8378519355. The cubic root of 4128041664 is about 1604.1612597327.

Adding to 4128041664 its reverse (4661408214), we get a palindrome (8789449878).

It can be divided in two parts, 41280 and 41664, that added together give a square (82944 = 288²).

The spelling of 4128041664 in words is "four billion, one hundred twenty-eight million, forty-one thousand, six hundred sixty-four".