4105053120 has 224 divisors, whose sum is σ = 14941149696. Its totient is φ = 935424000.

The previous prime is 4105053119. The next prime is 4105053143. The reversal of 4105053120 is 213505014.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4105053120² = 33702922236043468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2828395 + ... + 2829845.

Almost surely, 2^4105053120 is an apocalyptic number.

4105053120 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 4105053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470574848).

4105053120 is an abundant number, since it is smaller than the sum of its proper divisors (10836096576).

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

4105053120 is a wasteful number, since it uses less digits than its factorization.

4105053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 4105053120 is about 64070.6884620417. The cubic root of 4105053120 is about 1601.1779242629.

Adding to 4105053120 its reverse (213505014), we get a palindrome (4318558134).

The spelling of 4105053120 in words is "four billion, one hundred five million, fifty-three thousand, one hundred twenty".