4121414320 has 80 divisors (see below), whose sum is σ = 9766830240. Its totient is φ = 1616947200.

The previous prime is 4121414303. The next prime is 4121414377. The reversal of 4121414320 is 234141214.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4121414291 and 4121414300.

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, 3119260 + ... + 3120580.

It is an arithmetic number, because the mean of its divisors is an integer number (122085378).

Almost surely, 2^4121414320 is an apocalyptic number.

4121414320 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 4121414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883415120).

4121414320 is an abundant number, since it is smaller than the sum of its proper divisors (5645415920).

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

4121414320 is a wasteful number, since it uses less digits than its factorization.

4121414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

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

The square root of 4121414320 is about 64198.2423435408. The cubic root of 4121414320 is about 1603.3023356727.

Adding to 4121414320 its reverse (234141214), we get a palindrome (4355555534).

The spelling of 4121414320 in words is "four billion, one hundred twenty-one million, four hundred fourteen thousand, three hundred twenty".