4105575120 has 80 divisors (see below), whose sum is σ = 12808465920. Its totient is φ = 1087836672.

The previous prime is 4105575107. The next prime is 4105575137. The reversal of 4105575120 is 215755014.

4105575120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 16800 + ... + 92159.

It is an arithmetic number, because the mean of its divisors is an integer number (160105824).

Almost surely, 2^4105575120 is an apocalyptic number.

4105575120 is a gapful number since it is divisible by the number (40) 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 4105575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404232960).

4105575120 is an abundant number, since it is smaller than the sum of its proper divisors (8702890800).

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

4105575120 is a wasteful number, since it uses less digits than its factorization.

4105575120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109132 (or 109126 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 4105575120 is about 64074.7619582000. The cubic root of 4105575120 is about 1601.2457901692.

The spelling of 4105575120 in words is "four billion, one hundred five million, five hundred seventy-five thousand, one hundred twenty".