40819104 has 72 divisors (see below), whose sum is σ = 116730432. Its totient is φ = 13530240.

The previous prime is 40819099. The next prime is 40819111. The reversal of 40819104 is 40191804.

40819104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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, 77787 + ... + 78309.

It is an arithmetic number, because the mean of its divisors is an integer number (1621256).

Almost surely, 2^40819104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40819104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58365216).

40819104 is an abundant number, since it is smaller than the sum of its proper divisors (75911328).

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

40819104 is a wasteful number, since it uses less digits than its factorization.

40819104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 40819104 is about 6388.9830176641. The cubic root of 40819104 is about 344.3138473413.

The spelling of 40819104 in words is "forty million, eight hundred nineteen thousand, one hundred four".