40820745436224 has 224 divisors, whose sum is σ = 116630080809984. Its totient is φ = 12526031216640.

The previous prime is 40820745436193. The next prime is 40820745436267. The reversal of 40820745436224 is 42263454702804.

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 31 ways as a sum of consecutive naturals, for example, 1406578834 + ... + 1406607854.

It is an arithmetic number, because the mean of its divisors is an integer number (520670003616).

Almost surely, 2^{40820745436224} 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 40820745436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58315040404992).

40820745436224 is an abundant number, since it is smaller than the sum of its proper divisors (75809335373760).

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

40820745436224 is a wasteful number, since it uses less digits than its factorization.

40820745436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30565 (or 30555 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 51.

The spelling of 40820745436224 in words is "forty trillion, eight hundred twenty billion, seven hundred forty-five million, four hundred thirty-six thousand, two hundred twenty-four".