40955084947456 has 225 divisors, whose sum is σ = 87532791373741. Its totient is φ = 19161576636416.

The previous prime is 40955084947411. The next prime is 40955084947459. The reversal of 40955084947456 is 65474948055904.

The square root of 40955084947456 is 6399616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3250376294400 + 37704708653056 = 1802880^2 + 6140416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40955084947459) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 236734594986 + ... + 236734595158.

Almost surely, 2^{40955084947456} is an apocalyptic number.

40955084947456 is the 6399616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40955084947456

40955084947456 is an abundant number, since it is smaller than the sum of its proper divisors (46577706426285).

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

40955084947456 is an frugal number, since it uses more digits than its factorization.

40955084947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 70.

The spelling of 40955084947456 in words is "forty trillion, nine hundred fifty-five billion, eighty-four million, nine hundred forty-seven thousand, four hundred fifty-six".