40345890824736 has 384 divisors, whose sum is σ = 142305782169600. Its totient is φ = 10863509944320.

The previous prime is 40345890824731. The next prime is 40345890824779. The reversal of 40345890824736 is 63742809854304.

40345890824736 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 5 + 89 + 0 + 82 + 473 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40345890824731) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21029076 + ... + 22867308.

It is an arithmetic number, because the mean of its divisors is an integer number (370587974400).

Almost surely, 2^{40345890824736} 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 40345890824736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71152891084800).

40345890824736 is an abundant number, since it is smaller than the sum of its proper divisors (101959891344864).

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

40345890824736 is a wasteful number, since it uses less digits than its factorization.

40345890824736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838469 (or 1838455 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 40345890824736 in words is "forty trillion, three hundred forty-five billion, eight hundred ninety million, eight hundred twenty-four thousand, seven hundred thirty-six".