40444088484000 has 768 divisors, whose sum is σ = 142191724147200. Its totient is φ = 10018971648000.

The previous prime is 40444088483989. The next prime is 40444088484013. The reversal of 40444088484000 is 48488044404.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 4686991686 + ... + 4687000314.

It is an arithmetic number, because the mean of its divisors is an integer number (185145474150).

Almost surely, 2^{40444088484000} is an apocalyptic number.

40444088484000 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 40444088484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71095862073600).

40444088484000 is an abundant number, since it is smaller than the sum of its proper divisors (101747635663200).

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

40444088484000 is a wasteful number, since it uses less digits than its factorization.

40444088484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 40444088484000 in words is "forty trillion, four hundred forty-four billion, eighty-eight million, four hundred eighty-four thousand".