40555153440144 has 360 divisors, whose sum is σ = 135743512539960. Its totient is φ = 11261816487936.

The previous prime is 40555153440089. The next prime is 40555153440167. The reversal of 40555153440144 is 44104435155504.

40555153440144 is a `hidden beast` number, since 4 + 0 + 5 + 55 + 15 + 3 + 440 + 144 = 666.

40555153440144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7605946220544 + 32949207219600 = 2757888^2 + 5740140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40555153440144.

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 71 ways as a sum of consecutive naturals, for example, 242452282 + ... + 242619494.

It is an arithmetic number, because the mean of its divisors is an integer number (377065312611).

Almost surely, 2^{40555153440144} 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 40555153440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67871756269980).

40555153440144 is an abundant number, since it is smaller than the sum of its proper divisors (95188359099816).

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

40555153440144 is a wasteful number, since it uses less digits than its factorization.

40555153440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168207 (or 168191 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 40555153440144 its reverse (44104435155504), we get a palindrome (84659588595648).

The spelling of 40555153440144 in words is "forty trillion, five hundred fifty-five billion, one hundred fifty-three million, four hundred forty thousand, one hundred forty-four".