40793305798336 has 336 divisors, whose sum is σ = 109466960379840. Its totient is φ = 14904060272640.

The previous prime is 40793305798309. The next prime is 40793305798363. The reversal of 40793305798336 is 63389750339704.

It is an interprime number because it is at equal distance from previous prime (40793305798309) and next prime (40793305798363).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26442166 + ... + 27942346.

It is an arithmetic number, because the mean of its divisors is an integer number (325794524940).

Almost surely, 2^{40793305798336} is an apocalyptic number.

40793305798336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40793305798336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54733480189920).

40793305798336 is an abundant number, since it is smaller than the sum of its proper divisors (68673654581504).

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

40793305798336 is a wasteful number, since it uses less digits than its factorization.

40793305798336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500272 (or 1500255 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 67.

The spelling of 40793305798336 in words is "forty trillion, seven hundred ninety-three billion, three hundred five million, seven hundred ninety-eight thousand, three hundred thirty-six".