4112411333100 has 432 divisors, whose sum is σ = 14339712199680. Its totient is φ = 906346022400.

The previous prime is 4112411333077. The next prime is 4112411333167. The reversal of 4112411333100 is 13331142114.

It is a happy number.

It is a super-2 number, since 2×4112411333100² (a number of 26 digits) contains 22 as substring.

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, 126212611 + ... + 126245189.

It is an arithmetic number, because the mean of its divisors is an integer number (33193778240).

Almost surely, 2^{4112411333100} 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 4112411333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169856099840).

4112411333100 is an abundant number, since it is smaller than the sum of its proper divisors (10227300866580).

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

4112411333100 is a wasteful number, since it uses less digits than its factorization.

4112411333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32918 (or 32904 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 4112411333100 its reverse (13331142114), we get a palindrome (4125742475214).

The spelling of 4112411333100 in words is "four trillion, one hundred twelve billion, four hundred eleven million, three hundred thirty-three thousand, one hundred".