40864240115712 has 1344 divisors, whose sum is σ = 144447196682880. Its totient is φ = 11422352277504.

The previous prime is 40864240115711. The next prime is 40864240115761. The reversal of 40864240115712 is 21751104246804.

40864240115712 is a `hidden beast` number, since 4 + 0 + 8 + 64 + 2 + 4 + 0 + 11 + 571 + 2 = 666.

It is a super-2 number, since 2×40864240115712² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40864240115711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12758112703 + ... + 12758115905.

It is an arithmetic number, because the mean of its divisors is an integer number (107475592770).

Almost surely, 2^{40864240115712} 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 40864240115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72223598341440).

40864240115712 is an abundant number, since it is smaller than the sum of its proper divisors (103582956567168).

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

40864240115712 is a wasteful number, since it uses less digits than its factorization.

40864240115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 40864240115712 in words is "forty trillion, eight hundred sixty-four billion, two hundred forty million, one hundred fifteen thousand, seven hundred twelve".