4120405410 has 128 divisors (see below), whose sum is σ = 10973491200. Its totient is φ = 981854720.

The previous prime is 4120405363. The next prime is 4120405423. The reversal of 4120405410 is 145040214.

It is a happy number.

4120405410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7019137 + ... + 7019723.

It is an arithmetic number, because the mean of its divisors is an integer number (85730400).

Almost surely, 2^4120405410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120405410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

4120405410 is an abundant number, since it is smaller than the sum of its proper divisors (6853085790).

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

4120405410 is a wasteful number, since it uses less digits than its factorization.

4120405410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4120405410 is about 64190.3840929465. The cubic root of 4120405410 is about 1603.1714971105.

Adding to 4120405410 its reverse (145040214), we get a palindrome (4265445624).

The spelling of 4120405410 in words is "four billion, one hundred twenty million, four hundred five thousand, four hundred ten".