40111441344 has 252 divisors, whose sum is σ = 126262628856. Its totient is φ = 12102764544.

The previous prime is 40111441339. The next prime is 40111441351. The reversal of 40111441344 is 44314411104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21032839 + ... + 21034745.

It is an arithmetic number, because the mean of its divisors is an integer number (501042178).

Almost surely, 2^40111441344 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 40111441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63131314428).

40111441344 is an abundant number, since it is smaller than the sum of its proper divisors (86151187512).

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

40111441344 is a wasteful number, since it uses less digits than its factorization.

40111441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40111441344 its reverse (44314411104), we get a palindrome (84425852448).

The spelling of 40111441344 in words is "forty billion, one hundred eleven million, four hundred forty-one thousand, three hundred forty-four".