40821906841344 has 216 divisors, whose sum is σ = 118208690675712. Its totient is φ = 13548575508480.

The previous prime is 40821906841321. The next prime is 40821906841367. The reversal of 40821906841344 is 44314860912804.

40821906841344 is a `hidden beast` number, since 4 + 0 + 8 + 219 + 0 + 6 + 8 + 413 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (40821906841321) and next prime (40821906841367).

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 23 ways as a sum of consecutive naturals, for example, 499450209 + ... + 499531935.

It is an arithmetic number, because the mean of its divisors is an integer number (547262456832).

Almost surely, 2^{40821906841344} 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 40821906841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59104345337856).

40821906841344 is an abundant number, since it is smaller than the sum of its proper divisors (77386783834368).

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

40821906841344 is a wasteful number, since it uses less digits than its factorization.

40821906841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82683 (or 82666 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 40821906841344 in words is "forty trillion, eight hundred twenty-one billion, nine hundred six million, eight hundred forty-one thousand, three hundred forty-four".