40444323400 has 192 divisors, whose sum is σ = 107805600000. Its totient is φ = 13986846720.

The previous prime is 40444323341. The next prime is 40444323421. The reversal of 40444323400 is 432344404.

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, 4392001 + ... + 4401199.

It is an arithmetic number, because the mean of its divisors is an integer number (561487500).

Almost surely, 2^40444323400 is an apocalyptic number.

40444323400 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 40444323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902800000).

40444323400 is an abundant number, since it is smaller than the sum of its proper divisors (67361276600).

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

40444323400 is a wasteful number, since it uses less digits than its factorization.

40444323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 40444323400 its reverse (432344404), we get a palindrome (40876667804).

The spelling of 40444323400 in words is "forty billion, four hundred forty-four million, three hundred twenty-three thousand, four hundred".