4106152320 has 128 divisors (see below), whose sum is σ = 13777344000. Its totient is φ = 1037334528.

The previous prime is 4106152313. The next prime is 4106152331. The reversal of 4106152320 is 232516014.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19800 + ... + 92759.

It is an arithmetic number, because the mean of its divisors is an integer number (107635500).

Almost surely, 2^4106152320 is an apocalyptic number.

4106152320 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 4106152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888672000).

4106152320 is an abundant number, since it is smaller than the sum of its proper divisors (9671191680).

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

4106152320 is a wasteful number, since it uses less digits than its factorization.

4106152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112600 (or 112588 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4106152320 is about 64079.2659133982. The cubic root of 4106152320 is about 1601.3208260033.

Adding to 4106152320 its reverse (232516014), we get a palindrome (4338668334).

The spelling of 4106152320 in words is "four billion, one hundred six million, one hundred fifty-two thousand, three hundred twenty".