4121413240 has 128 divisors (see below), whose sum is σ = 11086709760. Its totient is φ = 1348199424.

The previous prime is 4121413229. The next prime is 4121413249. The reversal of 4121413240 is 423141214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121413249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4398052 + ... + 4398988.

It is an arithmetic number, because the mean of its divisors is an integer number (86614920).

Almost surely, 2^4121413240 is an apocalyptic number.

4121413240 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 4121413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543354880).

4121413240 is an abundant number, since it is smaller than the sum of its proper divisors (6965296520).

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

4121413240 is a wasteful number, since it uses less digits than its factorization.

4121413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4121413240 is about 64198.2339320950. The cubic root of 4121413240 is about 1603.3021956264.

Adding to 4121413240 its reverse (423141214), we get a palindrome (4544554454).

The spelling of 4121413240 in words is "four billion, one hundred twenty-one million, four hundred thirteen thousand, two hundred forty".