8040188520 has 1152 divisors, whose sum is σ = 36049536000. Its totient is φ = 1585059840.

The previous prime is 8040188441. The next prime is 8040188531. The reversal of 8040188520 is 258810408.

8040188520 is a `hidden beast` number, since 80 + 40 + 18 + 8 + 520 = 666.

It is a super-3 number, since 3×8040188520³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 287 ways as a sum of consecutive naturals, for example, 259360905 + ... + 259360935.

It is an arithmetic number, because the mean of its divisors is an integer number (31293000).

Almost surely, 2^8040188520 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 8040188520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024768000).

8040188520 is an abundant number, since it is smaller than the sum of its proper divisors (28009347480).

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

8040188520 is a wasteful number, since it uses less digits than its factorization.

8040188520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8040188520 is about 89667.0983137070. The cubic root of 8040188520 is about 2003.3434508868.

Adding to 8040188520 its reverse (258810408), we get a palindrome (8298998928).

It can be divided in two parts, 80401 and 88520, that added together give a square (168921 = 411²).

The spelling of 8040188520 in words is "eight billion, forty million, one hundred eighty-eight thousand, five hundred twenty".