40044412320 has 192 divisors, whose sum is σ = 137977136640. Its totient is φ = 9681638400.

The previous prime is 40044412301. The next prime is 40044412333. The reversal of 40044412320 is 2321444004.

It is a happy number.

It is a Cunningham number, because it is equal to 200111²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1991115 + ... + 2011125.

It is an arithmetic number, because the mean of its divisors is an integer number (718630920).

Almost surely, 2^40044412320 is an apocalyptic number.

40044412320 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 40044412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68988568320).

40044412320 is an abundant number, since it is smaller than the sum of its proper divisors (97932724320).

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

40044412320 is a wasteful number, since it uses less digits than its factorization.

40044412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20419 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40044412320 its reverse (2321444004), we get a palindrome (42365856324).

The spelling of 40044412320 in words is "forty billion, forty-four million, four hundred twelve thousand, three hundred twenty".