8124818940 has 192 divisors, whose sum is σ = 29187379200. Its totient is φ = 1837873152.

The previous prime is 8124818939. The next prime is 8124818951. The reversal of 8124818940 is 498184218.

8124818940 is a `hidden beast` number, since 81 + 2 + 481 + 8 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 355581 + ... + 377739.

It is an arithmetic number, because the mean of its divisors is an integer number (152017600).

Almost surely, 2^8124818940 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 8124818940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593689600).

8124818940 is an abundant number, since it is smaller than the sum of its proper divisors (21062560260).

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

8124818940 is a wasteful number, since it uses less digits than its factorization.

8124818940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22281 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8124818940 is about 90137.7775408291. Note that the first 3 decimals coincide. The cubic root of 8124818940 is about 2010.3479460019.

The spelling of 8124818940 in words is "eight billion, one hundred twenty-four million, eight hundred eighteen thousand, nine hundred forty".