4178128864 has 108 divisors (see below), whose sum is σ = 10361988504. Its totient is φ = 1652781312.

The previous prime is 4178128847. The next prime is 4178128883. The reversal of 4178128864 is 4688218714.

4178128864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 257109 + ... + 272875.

It is an arithmetic number, because the mean of its divisors is an integer number (95944338).

Almost surely, 2^4178128864 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 4178128864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180994252).

4178128864 is an abundant number, since it is smaller than the sum of its proper divisors (6183859640).

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

4178128864 is a wasteful number, since it uses less digits than its factorization.

4178128864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15789 counting only the distinct ones).

The product of its digits is 688128, while the sum is 49.

The square root of 4178128864 is about 64638.4472585782. The cubic root of 4178128864 is about 1610.6231740092.

The spelling of 4178128864 in words is "four billion, one hundred seventy-eight million, one hundred twenty-eight thousand, eight hundred sixty-four".