40449405216 has 576 divisors, whose sum is σ = 132176378880. Its totient is φ = 10702264320.

The previous prime is 40449405203. The next prime is 40449405223. The reversal of 40449405216 is 61250494404.

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 95 ways as a sum of consecutive naturals, for example, 392712621 + ... + 392712723.

It is an arithmetic number, because the mean of its divisors is an integer number (229472880).

Almost surely, 2^40449405216 is an apocalyptic number.

40449405216 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 40449405216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66088189440).

40449405216 is an abundant number, since it is smaller than the sum of its proper divisors (91726973664).

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

40449405216 is a wasteful number, since it uses less digits than its factorization.

40449405216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 40449405216 in words is "forty billion, four hundred forty-nine million, four hundred five thousand, two hundred sixteen".