4158320544 has 192 divisors, whose sum is σ = 14591001600. Its totient is φ = 1125529344.

The previous prime is 4158320521. The next prime is 4158320549. The reversal of 4158320544 is 4450238514.

It is a happy number.

4158320544 is a `hidden beast` number, since 4 + 1 + 583 + 20 + 54 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4158320499 and 4158320508.

It is not an unprimeable number, because it can be changed into a prime (4158320549) 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, 96819 + ... + 133005.

It is an arithmetic number, because the mean of its divisors is an integer number (75994800).

Almost surely, 2^4158320544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158320544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295500800).

4158320544 is an abundant number, since it is smaller than the sum of its proper divisors (10432681056).

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

4158320544 is a wasteful number, since it uses less digits than its factorization.

4158320544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36232 (or 36218 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4158320544 is about 64485.0412421361. The cubic root of 4158320544 is about 1608.0738437908.

The spelling of 4158320544 in words is "four billion, one hundred fifty-eight million, three hundred twenty thousand, five hundred forty-four".