40544144144504 has 256 divisors, whose sum is σ = 108983891681280. Its totient is φ = 13622981137920.

The previous prime is 40544144144501. The next prime is 40544144144533.

40544144144504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40544144144501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5360279 + ... + 10479545.

It is an arithmetic number, because the mean of its divisors is an integer number (425718326880).

Almost surely, 2^{40544144144504} is an apocalyptic number.

40544144144504 is a gapful number since it is divisible by the number (44) 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 40544144144504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54491945840640).

40544144144504 is an abundant number, since it is smaller than the sum of its proper divisors (68439747536776).

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

40544144144504 is a wasteful number, since it uses less digits than its factorization.

40544144144504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119370 (or 5119366 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 44.

It can be divided in two parts, 4054414 and 4144504, that added together give a palindrome (8198918).

The spelling of 40544144144504 in words is "forty trillion, five hundred forty-four billion, one hundred forty-four million, one hundred forty-four thousand, five hundred four".