8124072042240 has 1152 divisors, whose sum is σ = 38057362237440. Its totient is φ = 1588808908800.

The previous prime is 8124072042217. The next prime is 8124072042301. The reversal of 8124072042240 is 422402704218.

8124072042240 is a `hidden beast` number, since 8 + 1 + 2 + 407 + 2 + 0 + 4 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 8124072042195 and 8124072042204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45149250 + ... + 45328830.

It is an arithmetic number, because the mean of its divisors is an integer number (33035904720).

Almost surely, 2^{8124072042240} is an apocalyptic number.

8124072042240 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 8124072042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19028681118720).

8124072042240 is an abundant number, since it is smaller than the sum of its proper divisors (29933290195200).

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

8124072042240 is a wasteful number, since it uses less digits than its factorization.

8124072042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179646 (or 179626 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 8124072042240 its reverse (422402704218), we get a palindrome (8546474746458).

The spelling of 8124072042240 in words is "eight trillion, one hundred twenty-four billion, seventy-two million, forty-two thousand, two hundred forty".