40468564224 has 405 divisors, whose sum is σ = 133689813411. Its totient is φ = 12166640640.

The previous prime is 40468564183. The next prime is 40468564237. The reversal of 40468564224 is 42246586404.

The square root of 40468564224 is 201168.

It is a perfect power (a square), and thus also a powerful number.

40468564224 is a `hidden beast` number, since 4 + 0 + 4 + 68 + 564 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40468564224.

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 44 ways as a sum of consecutive naturals, for example, 318650049 + ... + 318650175.

Almost surely, 2^40468564224 is an apocalyptic number.

40468564224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

40468564224 is the 201168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40468564224

40468564224 is an abundant number, since it is smaller than the sum of its proper divisors (93221249187).

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

40468564224 is an equidigital number, since it uses as much as digits as its factorization.

40468564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 40468564224 in words is "forty billion, four hundred sixty-eight million, five hundred sixty-four thousand, two hundred twenty-four".