40319400 has 192 divisors, whose sum is σ = 140616000. Its totient is φ = 9472000.

The previous prime is 40319371. The next prime is 40319401. The reversal of 40319400 is 491304.

40319400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40319401) 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 47 ways as a sum of consecutive naturals, for example, 270526 + ... + 270674.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 2^40319400 is an apocalyptic number.

40319400 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 40319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

40319400 is an abundant number, since it is smaller than the sum of its proper divisors (100296600).

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

40319400 is a wasteful number, since it uses less digits than its factorization.

40319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40319400 is about 6349.7559008201. The cubic root of 40319400 is about 342.9030543677.

It can be divided in two parts, 4031 and 9400, that added together give a palindrome (13431).

The spelling of 40319400 in words is "forty million, three hundred nineteen thousand, four hundred".