40744810543752 has 256 divisors, whose sum is σ = 133092173222400. Its totient is φ = 11450530137600.

The previous prime is 40744810543747. The next prime is 40744810543753. The reversal of 40744810543752 is 25734501844704.

40744810543752 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 48 + 1 + 0 + 543 + 7 + 52 = 666.

40744810543752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40744810543753) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4743852 + ... + 10197732.

It is an arithmetic number, because the mean of its divisors is an integer number (519891301650).

Almost surely, 2^{40744810543752} is an apocalyptic number.

40744810543752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40744810543752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66546086611200).

40744810543752 is an abundant number, since it is smaller than the sum of its proper divisors (92347362678648).

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

40744810543752 is an equidigital number, since it uses as much as digits as its factorization.

40744810543752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453976 (or 5453954 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 40744810543752 in words is "forty trillion, seven hundred forty-four billion, eight hundred ten million, five hundred forty-three thousand, seven hundred fifty-two".