4105013011200 has 1296 divisors, whose sum is σ = 16514212085280. Its totient is φ = 967618068480.

The previous prime is 4105013011193. The next prime is 4105013011213. The reversal of 4105013011200 is 21103105014.

4105013011200 is a `hidden beast` number, since 4 + 10 + 501 + 30 + 1 + 120 + 0 = 666.

It is a super-2 number, since 2×4105013011200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1050679647 + ... + 1050683553.

Almost surely, 2^{4105013011200} is an apocalyptic number.

4105013011200 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 4105013011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257106042640).

4105013011200 is an abundant number, since it is smaller than the sum of its proper divisors (12409199074080).

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

4105013011200 is a wasteful number, since it uses less digits than its factorization.

4105013011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 4105013011200 its reverse (21103105014), we get a palindrome (4126116116214).

The spelling of 4105013011200 in words is "four trillion, one hundred five billion, thirteen million, eleven thousand, two hundred".