40782684096 has 504 divisors, whose sum is σ = 147981375360. Its totient is φ = 10511170560.

The previous prime is 40782684077. The next prime is 40782684139. The reversal of 40782684096 is 69048628704.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87328855 + ... + 87329321.

It is an arithmetic number, because the mean of its divisors is an integer number (293613840).

Almost surely, 2^40782684096 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 40782684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990687680).

40782684096 is an abundant number, since it is smaller than the sum of its proper divisors (107198691264).

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

40782684096 is a wasteful number, since it uses less digits than its factorization.

40782684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 40782684096 in words is "forty billion, seven hundred eighty-two million, six hundred eighty-four thousand, ninety-six".