4111907040 has 288 divisors, whose sum is σ = 14891778720. Its totient is φ = 1030275072.

The previous prime is 4111907029. The next prime is 4111907047. The reversal of 4111907040 is 407091114.

4111907040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4111906995 and 4111907013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111907047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3747772 + ... + 3748868.

It is an arithmetic number, because the mean of its divisors is an integer number (51707565).

Almost surely, 2^4111907040 is an apocalyptic number.

4111907040 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 4111907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445889360).

4111907040 is an abundant number, since it is smaller than the sum of its proper divisors (10779871680).

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

4111907040 is a wasteful number, since it uses less digits than its factorization.

4111907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 4111907040 is about 64124.1533277438. The cubic root of 4111907040 is about 1602.0685536927.

Adding to 4111907040 its reverse (407091114), we get a palindrome (4518998154).

The spelling of 4111907040 in words is "four billion, one hundred eleven million, nine hundred seven thousand, forty".