40748320 has 96 divisors (see below), whose sum is σ = 103856256. Its totient is φ = 15052800.

The previous prime is 40748297. The next prime is 40748329. The reversal of 40748320 is 2384704.

It is not an unprimeable number, because it can be changed into a prime (40748329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193015 + ... + 193225.

It is an arithmetic number, because the mean of its divisors is an integer number (1081836).

Almost surely, 2^40748320 is an apocalyptic number.

40748320 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 40748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51928128).

40748320 is an abundant number, since it is smaller than the sum of its proper divisors (63107936).

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

40748320 is a wasteful number, since it uses less digits than its factorization.

40748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 40748320 is about 6383.4410782900. The cubic root of 40748320 is about 344.1147084556.

The spelling of 40748320 in words is "forty million, seven hundred forty-eight thousand, three hundred twenty".