40440384000 has 800 divisors, whose sum is σ = 156412198800. Its totient is φ = 10373529600.

The previous prime is 40440383981. The next prime is 40440384001. The reversal of 40440384000 is 48304404.

It can be written as a sum of positive squares in 8 ways, for example, as 203233536 + 40237150464 = 14256^2 + 200592^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40440384001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150335866 + ... + 150336134.

Almost surely, 2^40440384000 is an apocalyptic number.

40440384000 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 40440384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78206099400).

40440384000 is an abundant number, since it is smaller than the sum of its proper divisors (115971814800).

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

40440384000 is an equidigital number, since it uses as much as digits as its factorization.

40440384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40440384000 its reverse (48304404), we get a palindrome (40488688404).

The spelling of 40440384000 in words is "forty billion, four hundred forty million, three hundred eighty-four thousand".