40819296 has 192 divisors, whose sum is σ = 135475200. Its totient is φ = 10492416.

The previous prime is 40819291. The next prime is 40819333. The reversal of 40819296 is 69291804.

40819296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40819291) 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 31 ways as a sum of consecutive naturals, for example, 293595 + ... + 293733.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^40819296 is an apocalyptic number.

40819296 is a gapful number since it is divisible by the number (46) 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 40819296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

40819296 is an abundant number, since it is smaller than the sum of its proper divisors (94655904).

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

40819296 is a wasteful number, since it uses less digits than its factorization.

40819296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 40819296 is about 6388.9980435120. The cubic root of 40819296 is about 344.3143871878.

The spelling of 40819296 in words is "forty million, eight hundred nineteen thousand, two hundred ninety-six".