4121413760 has 128 divisors (see below), whose sum is σ = 10079823600. Its totient is φ = 1610956800.

The previous prime is 4121413759. The next prime is 4121413811. The reversal of 4121413760 is 673141214.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1240730176 + 2880683584 = 35224^2 + 53672^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4121413760² = 33972102762234675200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8939930 + ... + 8940390.

Almost surely, 2^4121413760 is an apocalyptic number.

4121413760 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 4121413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039911800).

4121413760 is an abundant number, since it is smaller than the sum of its proper divisors (5958409840).

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

4121413760 is a wasteful number, since it uses less digits than its factorization.

4121413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 4121413760 is about 64198.2379820506. The cubic root of 4121413760 is about 1603.3022630561.

Adding to 4121413760 its reverse (673141214), we get a palindrome (4794554974).

The spelling of 4121413760 in words is "four billion, one hundred twenty-one million, four hundred thirteen thousand, seven hundred sixty".