40273920 has 288 divisors, whose sum is σ = 153316800. Its totient is φ = 9732096.

The previous prime is 40273913. The next prime is 40273921. The reversal of 40273920 is 2937204.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40273921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751029 + ... + 1751051.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 2^40273920 is an apocalyptic number.

40273920 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 40273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76658400).

40273920 is an abundant number, since it is smaller than the sum of its proper divisors (113042880).

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

40273920 is a wasteful number, since it uses less digits than its factorization.

40273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

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

The square root of 40273920 is about 6346.1736503187. The cubic root of 40273920 is about 342.7740751140.

The spelling of 40273920 in words is "forty million, two hundred seventy-three thousand, nine hundred twenty".