40441133152 has 72 divisors (see below), whose sum is σ = 92801207520. Its totient is φ = 17297521920.

The previous prime is 40441133147. The next prime is 40441133177. The reversal of 40441133152 is 25133114404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 40441133152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772777 + ... + 823447.

It is an arithmetic number, because the mean of its divisors is an integer number (1288905660).

Almost surely, 2^40441133152 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 40441133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46400603760).

40441133152 is an abundant number, since it is smaller than the sum of its proper divisors (52360074368).

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

40441133152 is a wasteful number, since it uses less digits than its factorization.

40441133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51204 (or 51189 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 40441133152 its reverse (25133114404), we get a palindrome (65574247556).

The spelling of 40441133152 in words is "forty billion, four hundred forty-one million, one hundred thirty-three thousand, one hundred fifty-two".