40244412312 has 192 divisors, whose sum is σ = 121603809600. Its totient is φ = 11944120320.

The previous prime is 40244412289. The next prime is 40244412317. The reversal of 40244412312 is 21321444204.

40244412312 is a `hidden beast` number, since 4 + 0 + 244 + 412 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×40244412312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40244412317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3409573 + ... + 3421355.

It is an arithmetic number, because the mean of its divisors is an integer number (633353175).

Almost surely, 2^40244412312 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 40244412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60801904800).

40244412312 is an abundant number, since it is smaller than the sum of its proper divisors (81359397288).

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

40244412312 is a wasteful number, since it uses less digits than its factorization.

40244412312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11938 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40244412312 its reverse (21321444204), we get a palindrome (61565856516).

The spelling of 40244412312 in words is "forty billion, two hundred forty-four million, four hundred twelve thousand, three hundred twelve".