40324000000 has 252 divisors, whose sum is σ = 106709805972. Its totient is φ = 15155200000.

The previous prime is 40323999959. The next prime is 40324000007. The reversal of 40324000000 is 42304.

It can be written as a sum of positive squares in 14 ways, for example, as 38403457024 + 1920542976 = 195968^2 + 43824^2 .

It is not an unprimeable number, because it can be changed into a prime (40324000007) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 67999704 + ... + 68000296.

It is an arithmetic number, because the mean of its divisors is an integer number (423451611).

Almost surely, 2^40324000000 is an apocalyptic number.

40324000000 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 40324000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53354902986).

40324000000 is an abundant number, since it is smaller than the sum of its proper divisors (66385805972).

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

40324000000 is an frugal number, since it uses more digits than its factorization.

40324000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 40324000000 its reverse (42304), we get a palindrome (40324042304).

The spelling of 40324000000 in words is "forty billion, three hundred twenty-four million", and thus it is an aban number.