4145413120 has 88 divisors (see below), whose sum is σ = 10287403200. Its totient is φ = 1600929792.

The previous prime is 4145413109. The next prime is 4145413133. The reversal of 4145413120 is 213145414.

4145413120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134521 + ... + 162439.

Almost surely, 2^4145413120 is an apocalyptic number.

4145413120 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 4145413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143701600).

4145413120 is an abundant number, since it is smaller than the sum of its proper divisors (6141990080).

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

4145413120 is a wasteful number, since it uses less digits than its factorization.

4145413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27973 (or 27955 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4145413120 is about 64384.8826977265. The cubic root of 4145413120 is about 1606.4082992963.

Adding to 4145413120 its reverse (213145414), we get a palindrome (4358558534).

The spelling of 4145413120 in words is "four billion, one hundred forty-five million, four hundred thirteen thousand, one hundred twenty".