8410119840 has 240 divisors, whose sum is σ = 30314414592. Its totient is φ = 2194822656.

The previous prime is 8410119821. The next prime is 8410119841. The reversal of 8410119840 is 489110148.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 8410119795 and 8410119804.

It is not an unprimeable number, because it can be changed into a prime (8410119841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 602217 + ... + 616023.

Almost surely, 2^8410119840 is an apocalyptic number.

8410119840 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 8410119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157207296).

8410119840 is an abundant number, since it is smaller than the sum of its proper divisors (21904294752).

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

8410119840 is a wasteful number, since it uses less digits than its factorization.

8410119840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13881 (or 13864 counting only the distinct ones).

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

The square root of 8410119840 is about 91706.7055345464. The cubic root of 8410119840 is about 2033.6087168600.

Adding to 8410119840 its reverse (489110148), we get a palindrome (8899229988).

The spelling of 8410119840 in words is "eight billion, four hundred ten million, one hundred nineteen thousand, eight hundred forty".