40444008808400 has 120 divisors (see below), whose sum is σ = 97564200634368. Its totient is φ = 16111518400000.

The previous prime is 40444008808351. The next prime is 40444008808429. The reversal of 40444008808400 is 480880044404.

40444008808400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 143043170 + ... + 143325630.

Almost surely, 2^{40444008808400} is an apocalyptic number.

40444008808400 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 40444008808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48782100317184).

40444008808400 is an abundant number, since it is smaller than the sum of its proper divisors (57120191825968).

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

40444008808400 is a wasteful number, since it uses less digits than its factorization.

40444008808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283941 (or 283930 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 40444008808400 in words is "forty trillion, four hundred forty-four billion, eight million, eight hundred eight thousand, four hundred".