40318668432 has 240 divisors, whose sum is σ = 140479044480. Its totient is φ = 11018633472.

The previous prime is 40318668427. The next prime is 40318668463. The reversal of 40318668432 is 23486681304.

40318668432 is a `hidden beast` number, since 403 + 186 + 68 + 4 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445458 + ... + 528270.

It is an arithmetic number, because the mean of its divisors is an integer number (585329352).

Almost surely, 2^40318668432 is an apocalyptic number.

40318668432 is a gapful number since it is divisible by the number (42) 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 40318668432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70239522240).

40318668432 is an abundant number, since it is smaller than the sum of its proper divisors (100160376048).

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

40318668432 is a wasteful number, since it uses less digits than its factorization.

40318668432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82867 (or 82848 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 40318668 and 432, that multiplied together give a square (17417664576 = 131976²).

The spelling of 40318668432 in words is "forty billion, three hundred eighteen million, six hundred sixty-eight thousand, four hundred thirty-two".