8041138560 has 1152 divisors, whose sum is σ = 36957211200. Its totient is φ = 1566867456.

The previous prime is 8041138541. The next prime is 8041138607. The reversal of 8041138560 is 658311408.

8041138560 is a `hidden beast` number, since 80 + 4 + 1 + 13 + 8 + 560 = 666.

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

It is a super-2 number, since 2×8041138560² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277280626 + ... + 277280654.

Almost surely, 2^8041138560 is an apocalyptic number.

8041138560 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 8041138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478605600).

8041138560 is an abundant number, since it is smaller than the sum of its proper divisors (28916072640).

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

8041138560 is a wasteful number, since it uses less digits than its factorization.

8041138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8041138560 is about 89672.3957525391. The cubic root of 8041138560 is about 2003.4223537404.

Adding to 8041138560 its reverse (658311408), we get a palindrome (8699449968).

The spelling of 8041138560 in words is "eight billion, forty-one million, one hundred thirty-eight thousand, five hundred sixty".