40231141344 has 192 divisors, whose sum is σ = 122757768000. Its totient is φ = 12801761280.

The previous prime is 40231141339. The next prime is 40231141351. The reversal of 40231141344 is 44314113204.

40231141344 is a `hidden beast` number, since 4 + 0 + 2 + 311 + 4 + 1 + 344 = 666.

It is a super-2 number, since 2×40231141344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220964 + ... + 2239004.

It is an arithmetic number, because the mean of its divisors is an integer number (639363375).

Almost surely, 2^40231141344 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 40231141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61378884000).

40231141344 is an abundant number, since it is smaller than the sum of its proper divisors (82526626656).

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

40231141344 is a wasteful number, since it uses less digits than its factorization.

40231141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18178 (or 18164 counting only the distinct ones).

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

Adding to 40231141344 its reverse (44314113204), we get a palindrome (84545254548).

The spelling of 40231141344 in words is "forty billion, two hundred thirty-one million, one hundred forty-one thousand, three hundred forty-four".