40313422400 has 84 divisors (see below), whose sum is σ = 99372793380. Its totient is φ = 16096665600.

The previous prime is 40313422381. The next prime is 40313422403. The reversal of 40313422400 is 422431304.

It can be written as a sum of positive squares in 6 ways, for example, as 8509693504 + 31803728896 = 92248^2 + 178336^2 .

It is not an unprimeable number, because it can be changed into a prime (40313422403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888260 + ... + 932540.

It is an arithmetic number, because the mean of its divisors is an integer number (1183009445).

Almost surely, 2^40313422400 is an apocalyptic number.

40313422400 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 40313422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49686396690).

40313422400 is an abundant number, since it is smaller than the sum of its proper divisors (59059370980).

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

40313422400 is a wasteful number, since it uses less digits than its factorization.

40313422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44872 (or 44857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 40313422400 its reverse (422431304), we get a palindrome (40735853704).

The spelling of 40313422400 in words is "forty billion, three hundred thirteen million, four hundred twenty-two thousand, four hundred".