40739340096 has 840 divisors, whose sum is σ = 154266854280. Its totient is φ = 10597257216.

The previous prime is 40739340053. The next prime is 40739340149. The reversal of 40739340096 is 69004393704.

40739340096 is a `hidden beast` number, since 4 + 0 + 73 + 93 + 400 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11202105600 + 29537234496 = 105840^2 + 171864^2 .

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 119 ways as a sum of consecutive naturals, for example, 558073116 + ... + 558073188.

It is an arithmetic number, because the mean of its divisors is an integer number (183651017).

Almost surely, 2^40739340096 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 40739340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77133427140).

40739340096 is an abundant number, since it is smaller than the sum of its proper divisors (113527514184).

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

40739340096 is an equidigital number, since it uses as much as digits as its factorization.

40739340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 40739340096 in words is "forty billion, seven hundred thirty-nine million, three hundred forty thousand, ninety-six".