4102504128 has 168 divisors, whose sum is σ = 12053620800. Its totient is φ = 1333702656.

The previous prime is 4102504127. The next prime is 4102504183. The reversal of 4102504128 is 8214052014.

4102504128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4102504127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4049350 + ... + 4050362.

Almost surely, 2^4102504128 is an apocalyptic number.

4102504128 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 4102504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026810400).

4102504128 is an abundant number, since it is smaller than the sum of its proper divisors (7951116672).

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

4102504128 is a wasteful number, since it uses less digits than its factorization.

4102504128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4102504128 is about 64050.7933440328. The cubic root of 4102504128 is about 1600.8464437958.

The spelling of 4102504128 in words is "four billion, one hundred two million, five hundred four thousand, one hundred twenty-eight".