440293294116 has 243 divisors, whose sum is σ = 1238189701203. Its totient is φ = 131859861120.

The previous prime is 440293294013. The next prime is 440293294117. The reversal of 440293294116 is 611492392044.

The square root of 440293294116 is 663546.

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

440293294116 is a `hidden beast` number, since 440 + 2 + 9 + 3 + 2 + 94 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 339108228900 + 101185065216 = 582330^2 + 318096^2 .

It is not an unprimeable number, because it can be changed into a prime (440293294117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2432559546 + ... + 2432559726.

Almost surely, 2^440293294116 is an apocalyptic number.

440293294116 is the 663546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440293294116

440293294116 is an abundant number, since it is smaller than the sum of its proper divisors (797896407087).

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

440293294116 is a wasteful number, since it uses less digits than its factorization.

440293294116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 440293294116 in words is "four hundred forty billion, two hundred ninety-three million, two hundred ninety-four thousand, one hundred sixteen".