40791668832 has 288 divisors, whose sum is σ = 123810785280. Its totient is φ = 12720291840.

The previous prime is 40791668767. The next prime is 40791668843. The reversal of 40791668832 is 23886619704.

It is a tau number, because it is divible by the number of its divisors (288).

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, 31892769 + ... + 31894047.

It is an arithmetic number, because the mean of its divisors is an integer number (429898560).

Almost surely, 2^40791668832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40791668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61905392640).

40791668832 is an abundant number, since it is smaller than the sum of its proper divisors (83019116448).

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

40791668832 is a wasteful number, since it uses less digits than its factorization.

40791668832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 40791668832 in words is "forty billion, seven hundred ninety-one million, six hundred sixty-eight thousand, eight hundred thirty-two".