4158737856 has 448 divisors, whose sum is σ = 15361920000. Its totient is φ = 1073958912.

The previous prime is 4158737833. The next prime is 4158737867. The reversal of 4158737856 is 6587378514.

It is a happy number.

4158737856 is a `hidden beast` number, since 4 + 1 + 587 + 3 + 7 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 8333895 + ... + 8334393.

It is an arithmetic number, because the mean of its divisors is an integer number (34290000).

Almost surely, 2^4158737856 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 4158737856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960000).

4158737856 is an abundant number, since it is smaller than the sum of its proper divisors (11203182144).

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

4158737856 is a wasteful number, since it uses less digits than its factorization.

4158737856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 4158737856 is about 64488.2768881291. The cubic root of 4158737856 is about 1608.1276352240.

The spelling of 4158737856 in words is "four billion, one hundred fifty-eight million, seven hundred thirty-seven thousand, eight hundred fifty-six".