8441961588 has 120 divisors (see below), whose sum is σ = 23149201152. Its totient is φ = 2679500736.

The previous prime is 8441961587. The next prime is 8441961673. The reversal of 8441961588 is 8851691448.

It is a happy number.

8441961588 is a `hidden beast` number, since 8 + 4 + 4 + 19 + 615 + 8 + 8 = 666.

It is a super-4 number, since 4×8441961588⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8441961587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 555945 + ... + 570927.

Almost surely, 2^8441961588 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 8441961588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574600576).

8441961588 is an abundant number, since it is smaller than the sum of its proper divisors (14707239564).

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

8441961588 is a wasteful number, since it uses less digits than its factorization.

8441961588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15083 (or 15072 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 8441961588 is about 91880.1479537337. The cubic root of 8441961588 is about 2036.1719821965.

The spelling of 8441961588 in words is "eight billion, four hundred forty-one million, nine hundred sixty-one thousand, five hundred eighty-eight".