4100133214112 has 192 divisors, whose sum is σ = 9033621811200. Its totient is φ = 1819715604480.

The previous prime is 4100133213871. The next prime is 4100133214117. The reversal of 4100133214112 is 2114123310014.

It is a super-2 number, since 2×4100133214112² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4100133214117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716253814 + ... + 1716256202.

It is an arithmetic number, because the mean of its divisors is an integer number (47050113600).

Almost surely, 2^{4100133214112} 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 4100133214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516810905600).

4100133214112 is an abundant number, since it is smaller than the sum of its proper divisors (4933488597088).

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

4100133214112 is a wasteful number, since it uses less digits than its factorization.

4100133214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 4100133214112 its reverse (2114123310014), we get a palindrome (6214256524126).

The spelling of 4100133214112 in words is "four trillion, one hundred billion, one hundred thirty-three million, two hundred fourteen thousand, one hundred twelve".