940809034368 has 768 divisors, whose sum is σ = 3446340618240. Its totient is φ = 240152739840.

The previous prime is 940809034309. The next prime is 940809034379. The reversal of 940809034368 is 863430908049.

It is a happy number.

940809034368 is a `hidden beast` number, since 9 + 40 + 80 + 90 + 3 + 436 + 8 = 666.

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, 225233496 + ... + 225237672.

It is an arithmetic number, because the mean of its divisors is an integer number (4487422680).

Almost surely, 2^940809034368 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 940809034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723170309120).

940809034368 is an abundant number, since it is smaller than the sum of its proper divisors (2505531583872).

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

940809034368 is a wasteful number, since it uses less digits than its factorization.

940809034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 940809034368 in words is "nine hundred forty billion, eight hundred nine million, thirty-four thousand, three hundred sixty-eight".