40334381568 has 400 divisors, whose sum is σ = 131427838080. Its totient is φ = 12240543744.

The previous prime is 40334381537. The next prime is 40334381579. The reversal of 40334381568 is 86518343304.

40334381568 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 4 + 3 + 81 + 568 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 42591271 + ... + 42592217.

Almost surely, 2^40334381568 is an apocalyptic number.

40334381568 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 40334381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65713919040).

40334381568 is an abundant number, since it is smaller than the sum of its proper divisors (91093456512).

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

40334381568 is an equidigital number, since it uses as much as digits as its factorization.

40334381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40334381568 in words is "forty billion, three hundred thirty-four million, three hundred eighty-one thousand, five hundred sixty-eight".