40440212290816 has 72 divisors (see below), whose sum is σ = 86933897905064. Its totient is φ = 18664278958080.

The previous prime is 40440212290811. The next prime is 40440212290847. The reversal of 40440212290816 is 61809221204404.

40440212290816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 263883580416 + 40176328710400 = 513696^2 + 6338480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40440212290811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175726546 + ... + 175956526.

Almost surely, 2^{40440212290816} is an apocalyptic number.

It is an amenable number.

40440212290816 is an abundant number, since it is smaller than the sum of its proper divisors (46493685614248).

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

40440212290816 is a wasteful number, since it uses less digits than its factorization.

40440212290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282847 (or 282833 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 40440212290816 in words is "forty trillion, four hundred forty billion, two hundred twelve million, two hundred ninety thousand, eight hundred sixteen".