40579793856 has 448 divisors, whose sum is σ = 144226483200. Its totient is φ = 10929696768.

The previous prime is 40579793833. The next prime is 40579793887. The reversal of 40579793856 is 65839797504.

40579793856 is a `hidden beast` number, since 4 + 0 + 579 + 7 + 9 + 3 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 40579793793 and 40579793802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72853930 + ... + 72854486.

Almost surely, 2^40579793856 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 40579793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72113241600).

40579793856 is an abundant number, since it is smaller than the sum of its proper divisors (103646689344).

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

40579793856 is a wasteful number, since it uses less digits than its factorization.

40579793856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 40579793856 in words is "forty billion, five hundred seventy-nine million, seven hundred ninety-three thousand, eight hundred fifty-six".