158441040576 has 448 divisors, whose sum is σ = 585004672000. Its totient is φ = 41784615936.

The previous prime is 158441040529. The next prime is 158441040607. The reversal of 158441040576 is 675040144851.

158441040576 is a `hidden beast` number, since 1 + 584 + 4 + 10 + 4 + 0 + 57 + 6 = 666.

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

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, 7694871 + ... + 7715433.

It is an arithmetic number, because the mean of its divisors is an integer number (1305814000).

Almost surely, 2^158441040576 is an apocalyptic number.

158441040576 is a gapful number since it is divisible by the number (16) 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 158441040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292502336000).

158441040576 is an abundant number, since it is smaller than the sum of its proper divisors (426563631424).

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

158441040576 is a wasteful number, since it uses less digits than its factorization.

158441040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618 (or 20588 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 158441040576 in words is "one hundred fifty-eight billion, four hundred forty-one million, forty thousand, five hundred seventy-six".