4100521128 has 128 divisors (see below), whose sum is σ = 11362982400. Its totient is φ = 1222790400.

The previous prime is 4100521111. The next prime is 4100521141. The reversal of 4100521128 is 8211250014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4100521098 and 4100521107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4806750 + ... + 4807602.

It is an arithmetic number, because the mean of its divisors is an integer number (88773300).

Almost surely, 2^4100521128 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 4100521128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681491200).

4100521128 is an abundant number, since it is smaller than the sum of its proper divisors (7262461272).

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

4100521128 is a wasteful number, since it uses less digits than its factorization.

4100521128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 4100521128 is about 64035.3115710387. The cubic root of 4100521128 is about 1600.5884720780.

The spelling of 4100521128 in words is "four billion, one hundred million, five hundred twenty-one thousand, one hundred twenty-eight".