40011544400000 has 384 divisors, whose sum is σ = 102739139899200. Its totient is φ = 15512773120000.

The previous prime is 40011544399987. The next prime is 40011544400011. The reversal of 40011544400000 is 444511004.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 1759588631 + ... + 1759611369.

Almost surely, 2^{40011544400000} is an apocalyptic number.

40011544400000 is a gapful number since it is divisible by the number (40) 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 40011544400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51369569949600).

40011544400000 is an abundant number, since it is smaller than the sum of its proper divisors (62727595499200).

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

40011544400000 is an frugal number, since it uses more digits than its factorization.

40011544400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22914 (or 22882 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 40011544400000 its reverse (444511004), we get a palindrome (40011988911004).

The spelling of 40011544400000 in words is "forty trillion, eleven billion, five hundred forty-four million, four hundred thousand".