40468240 has 40 divisors (see below), whose sum is σ = 94612248. Its totient is φ = 16097280.

The previous prime is 40468231. The next prime is 40468291. The reversal of 40468240 is 4286404.

40468240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 35378704 = 2256^2 + 5948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 40468199 and 40468208.

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, 14130 + ... + 16750.

Almost surely, 2^40468240 is an apocalyptic number.

40468240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40468240 is an abundant number, since it is smaller than the sum of its proper divisors (54144008).

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

40468240 is a wasteful number, since it uses less digits than its factorization.

40468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 40468240 is about 6361.4652400214. The cubic root of 40468240 is about 343.3244810822.

It can be divided in two parts, 404 and 68240, that added together give a square (68644 = 262²).

The spelling of 40468240 in words is "forty million, four hundred sixty-eight thousand, two hundred forty".