4112135040 has 768 divisors, whose sum is σ = 16127424000. Its totient is φ = 885620736.

The previous prime is 4112135003. The next prime is 4112135077. The reversal of 4112135040 is 405312114.

It is an interprime number because it is at equal distance from previous prime (4112135003) and next prime (4112135077).

It is a junction number, because it is equal to n+sod(n) for n = 4112134998 and 4112135016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141797746 + ... + 141797774.

It is an arithmetic number, because the mean of its divisors is an integer number (20999250).

Almost surely, 2^4112135040 is an apocalyptic number.

4112135040 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 4112135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063712000).

4112135040 is an abundant number, since it is smaller than the sum of its proper divisors (12015288960).

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

4112135040 is a wasteful number, since it uses less digits than its factorization.

4112135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4112135040 is about 64125.9311043512. The cubic root of 4112135040 is about 1602.0981640313.

Adding to 4112135040 its reverse (405312114), we get a palindrome (4517447154).

The spelling of 4112135040 in words is "four billion, one hundred twelve million, one hundred thirty-five thousand, forty".