4136704128 has 128 divisors (see below), whose sum is σ = 12328617600. Its totient is φ = 1365396480.

The previous prime is 4136704093. The next prime is 4136704157. The reversal of 4136704128 is 8214076314.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4136704128² = 34224642085224480768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4136704092 and 4136704101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350158 + ... + 361778.

It is an arithmetic number, because the mean of its divisors is an integer number (96317325).

Almost surely, 2^4136704128 is an apocalyptic number.

4136704128 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 4136704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164308800).

4136704128 is an abundant number, since it is smaller than the sum of its proper divisors (8191913472).

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

4136704128 is a wasteful number, since it uses less digits than its factorization.

4136704128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11747 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4136704128 is about 64317.2148650733. The cubic root of 4136704128 is about 1605.2825565948.

The spelling of 4136704128 in words is "four billion, one hundred thirty-six million, seven hundred four thousand, one hundred twenty-eight".