8411342940 has 1296 divisors, whose sum is σ = 38272590720. Its totient is φ = 1528450560.

The previous prime is 8411342917. The next prime is 8411342983. The reversal of 8411342940 is 492431148.

It is a happy number.

8411342940 is a `hidden beast` number, since 84 + 113 + 429 + 40 = 666.

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 = 8411342895 and 8411342904.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 442702251 + ... + 442702269.

It is an arithmetic number, because the mean of its divisors is an integer number (29531320).

Almost surely, 2^8411342940 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 8411342940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136295360).

8411342940 is an abundant number, since it is smaller than the sum of its proper divisors (29861247780).

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

8411342940 is a wasteful number, since it uses less digits than its factorization.

8411342940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8411342940 is about 91713.3738339180. The cubic root of 8411342940 is about 2033.7072959647.

The spelling of 8411342940 in words is "eight billion, four hundred eleven million, three hundred forty-two thousand, nine hundred forty".