40579042047936 has 336 divisors, whose sum is σ = 132622434694656. Its totient is φ = 10880549707776.

The previous prime is 40579042047917. The next prime is 40579042047989. The reversal of 40579042047936 is 63974024097504.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 40579042047936.

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, 55132201 + ... + 55863383.

Almost surely, 2^{40579042047936} 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 40579042047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66311217347328).

40579042047936 is an abundant number, since it is smaller than the sum of its proper divisors (92043392646720).

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

40579042047936 is a wasteful number, since it uses less digits than its factorization.

40579042047936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731576 (or 731559 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 40579042047936 in words is "forty trillion, five hundred seventy-nine billion, forty-two million, forty-seven thousand, nine hundred thirty-six".