40131342202140 has 288 divisors, whose sum is σ = 139289568897024. Its totient is φ = 9161836231680.

The previous prime is 40131342202057. The next prime is 40131342202141. The reversal of 40131342202140 is 4120224313104.

40131342202140 is a `hidden beast` number, since 4 + 0 + 1 + 313 + 4 + 2 + 202 + 140 = 666.

It is a super-2 number, since 2×40131342202140² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131342202141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4453590235 + ... + 4453599245.

It is an arithmetic number, because the mean of its divisors is an integer number (483644336448).

Almost surely, 2^{40131342202140} 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 40131342202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69644784448512).

40131342202140 is an abundant number, since it is smaller than the sum of its proper divisors (99158226694884).

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

40131342202140 is a wasteful number, since it uses less digits than its factorization.

40131342202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12897 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40131342202140 its reverse (4120224313104), we get a palindrome (44251566515244).

The spelling of 40131342202140 in words is "forty trillion, one hundred thirty-one billion, three hundred forty-two million, two hundred two thousand, one hundred forty".