40723920 has 120 divisors (see below), whose sum is σ = 138000096. Its totient is φ = 10761984.

The previous prime is 40723919. The next prime is 40723937. The reversal of 40723920 is 2932704.

40723920 is a `hidden beast` number, since 407 + 239 + 20 = 666.

40723920 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 (120).

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 23 ways as a sum of consecutive naturals, for example, 117187 + ... + 117533.

Almost surely, 2^40723920 is an apocalyptic number.

40723920 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 40723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69000048).

40723920 is an abundant number, since it is smaller than the sum of its proper divisors (97276176).

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

40723920 is a wasteful number, since it uses less digits than its factorization.

40723920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40723920 is about 6381.5295972047. The cubic root of 40723920 is about 344.0460097104.

The spelling of 40723920 in words is "forty million, seven hundred twenty-three thousand, nine hundred twenty".