8410119480 has 384 divisors, whose sum is σ = 32564937600. Its totient is φ = 1841688576.

The previous prime is 8410119479. The next prime is 8410119481. The reversal of 8410119480 is 849110148.

It is an interprime number because it is at equal distance from previous prime (8410119479) and next prime (8410119481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8410119481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11473194 + ... + 11473926.

It is an arithmetic number, because the mean of its divisors is an integer number (84804525).

Almost surely, 2^8410119480 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 8410119480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282468800).

8410119480 is an abundant number, since it is smaller than the sum of its proper divisors (24154818120).

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

8410119480 is a wasteful number, since it uses less digits than its factorization.

8410119480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8410119480 is about 91706.7035717673. The cubic root of 8410119480 is about 2033.6086878434.

The spelling of 8410119480 in words is "eight billion, four hundred ten million, one hundred nineteen thousand, four hundred eighty".