40545960 has 256 divisors, whose sum is σ = 154828800. Its totient is φ = 8266752.

The previous prime is 40545959. The next prime is 40545979. The reversal of 40545960 is 6954504.

40545960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 513201 + ... + 513279.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^40545960 is an apocalyptic number.

40545960 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 40545960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

40545960 is an abundant number, since it is smaller than the sum of its proper divisors (114282840).

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

40545960 is a wasteful number, since it uses less digits than its factorization.

40545960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 40545960 is about 6367.5709654467. The cubic root of 40545960 is about 343.5441275261.

The spelling of 40545960 in words is "forty million, five hundred forty-five thousand, nine hundred sixty".