8119341440 has 512 divisors, whose sum is σ = 25662873600. Its totient is φ = 2388787200.

The previous prime is 8119341403. The next prime is 8119341443. The reversal of 8119341440 is 441439118.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 8119341440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8119341443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44858150 + ... + 44858330.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^8119341440 is an apocalyptic number.

8119341440 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 8119341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

8119341440 is an abundant number, since it is smaller than the sum of its proper divisors (17543532160).

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

8119341440 is a wasteful number, since it uses less digits than its factorization.

8119341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8119341440 is about 90107.3883763146. The cubic root of 8119341440 is about 2009.8960731065.

The spelling of 8119341440 in words is "eight billion, one hundred nineteen million, three hundred forty-one thousand, four hundred forty".