4131104240 has 80 divisors (see below), whose sum is σ = 9857556576. Its totient is φ = 1609113600.

The previous prime is 4131104233. The next prime is 4131104309. The reversal of 4131104240 is 424011314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4131104240³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2659304 + ... + 2660856.

Almost surely, 2^4131104240 is an apocalyptic number.

4131104240 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 4131104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928778288).

4131104240 is an abundant number, since it is smaller than the sum of its proper divisors (5726452336).

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

4131104240 is a wasteful number, since it uses less digits than its factorization.

4131104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4131104240 is about 64273.6667695254. Note that the first 3 decimals coincide. The cubic root of 4131104240 is about 1604.5578684017.

Adding to 4131104240 its reverse (424011314), we get a palindrome (4555115554).

The spelling of 4131104240 in words is "four billion, one hundred thirty-one million, one hundred four thousand, two hundred forty".