40123320 has 64 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 10647168.

The previous prime is 40123313. The next prime is 40123333. The reversal of 40123320 is 2332104.

40123320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40123320.

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, 27981 + ... + 29379.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^40123320 is an apocalyptic number.

40123320 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 40123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

40123320 is an abundant number, since it is smaller than the sum of its proper divisors (80836680).

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

40123320 is a wasteful number, since it uses less digits than its factorization.

40123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40123320 is about 6334.2971196495. The cubic root of 40123320 is about 342.3462858282.

Adding to 40123320 its reverse (2332104), we get a palindrome (42455424).

The spelling of 40123320 in words is "forty million, one hundred twenty-three thousand, three hundred twenty".