40435642368 has 416 divisors, whose sum is σ = 133897294080. Its totient is φ = 11952783360.

The previous prime is 40435642367. The next prime is 40435642369. The reversal of 40435642368 is 86324653404.

40435642368 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 564 + 23 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (40435642367) and next prime (40435642369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40435642367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52309630 + ... + 52310402.

Almost surely, 2^40435642368 is an apocalyptic number.

40435642368 is a gapful number since it is divisible by the number (48) 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 40435642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66948647040).

40435642368 is an abundant number, since it is smaller than the sum of its proper divisors (93461651712).

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

40435642368 is a wasteful number, since it uses less digits than its factorization.

40435642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 40435642368 in words is "forty billion, four hundred thirty-five million, six hundred forty-two thousand, three hundred sixty-eight".