8166119440 has 80 divisors (see below), whose sum is σ = 20022289920. Its totient is φ = 3088834560.

The previous prime is 8166119419. The next prime is 8166119453. The reversal of 8166119440 is 449116618.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8166119393 and 8166119402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872385 + ... + 881695.

It is an arithmetic number, because the mean of its divisors is an integer number (250278624).

Almost surely, 2^8166119440 is an apocalyptic number.

8166119440 is a gapful number since it is divisible by the number (80) 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 8166119440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011144960).

8166119440 is an abundant number, since it is smaller than the sum of its proper divisors (11856170480).

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

8166119440 is a wasteful number, since it uses less digits than its factorization.

8166119440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 8166119440 is about 90366.5836468326. The cubic root of 8166119440 is about 2013.7485586679.

It can be divided in two parts, 81661 and 19440, that added together give a palindrome (101101).

The spelling of 8166119440 in words is "eight billion, one hundred sixty-six million, one hundred nineteen thousand, four hundred forty".