40823120 has 80 divisors (see below), whose sum is σ = 108274320. Its totient is φ = 14180352.

The previous prime is 40823117. The next prime is 40823141. The reversal of 40823120 is 2132804.

40823120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 169744 + 40653376 = 412^2 + 6376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40823092 and 40823101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16526 + ... + 18834.

It is an arithmetic number, because the mean of its divisors is an integer number (1353429).

Almost surely, 2^40823120 is an apocalyptic number.

40823120 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 40823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54137160).

40823120 is an abundant number, since it is smaller than the sum of its proper divisors (67451200).

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

40823120 is a wasteful number, since it uses less digits than its factorization.

40823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 40823120 is about 6389.2973009557. The cubic root of 40823120 is about 344.3251387786.

Adding to 40823120 its reverse (2132804), we get a palindrome (42955924).

The spelling of 40823120 in words is "forty million, eight hundred twenty-three thousand, one hundred twenty".