40888960 has 64 divisors (see below), whose sum is σ = 111726720. Its totient is φ = 14017536.

The previous prime is 40888951. The next prime is 40888999. The reversal of 40888960 is 6988804.

40888960 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 (64).

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 7 ways as a sum of consecutive naturals, for example, 84 + ... + 9043.

It is an arithmetic number, because the mean of its divisors is an integer number (1745730).

Almost surely, 2^40888960 is an apocalyptic number.

40888960 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 40888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55863360).

40888960 is an abundant number, since it is smaller than the sum of its proper divisors (70837760).

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

40888960 is an equidigital number, since it uses as much as digits as its factorization.

40888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 40888960 is about 6394.4475914656. The cubic root of 40888960 is about 344.5101498734.

The spelling of 40888960 in words is "forty million, eight hundred eighty-eight thousand, nine hundred sixty".