40827812852736 has 2112 divisors, whose sum is σ = 158625744076800. Its totient is φ = 10411648450560.

The previous prime is 40827812852711. The next prime is 40827812852779. The reversal of 40827812852736 is 63725821872804.

40827812852736 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 7 + 81 + 28 + 527 + 3 + 6 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 34395797935 + ... + 34395799121.

It is an arithmetic number, because the mean of its divisors is an integer number (75106886400).

Almost surely, 2^{40827812852736} 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 40827812852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79312872038400).

40827812852736 is an abundant number, since it is smaller than the sum of its proper divisors (117797931224064).

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

40827812852736 is a wasteful number, since it uses less digits than its factorization.

40827812852736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 40827812852736 in words is "forty trillion, eight hundred twenty-seven billion, eight hundred twelve million, eight hundred fifty-two thousand, seven hundred thirty-six".