4101021320 has 128 divisors (see below), whose sum is σ = 10213447680. Its totient is φ = 1469664000.

The previous prime is 4101021293. The next prime is 4101021329. The reversal of 4101021320 is 231201014.

It is a junction number, because it is equal to n+sod(n) for n = 4101021295 and 4101021304.

It is not an unprimeable number, because it can be changed into a prime (4101021329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15132785 + ... + 15133055.

It is an arithmetic number, because the mean of its divisors is an integer number (79792560).

Almost surely, 2^4101021320 is an apocalyptic number.

4101021320 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 4101021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106723840).

4101021320 is an abundant number, since it is smaller than the sum of its proper divisors (6112426360).

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

4101021320 is a wasteful number, since it uses less digits than its factorization.

4101021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4101021320 is about 64039.2170470564. The cubic root of 4101021320 is about 1600.6535507166.

Adding to 4101021320 its reverse (231201014), we get a palindrome (4332222334).

The spelling of 4101021320 in words is "four billion, one hundred one million, twenty-one thousand, three hundred twenty".