940500211968 has 360 divisors, whose sum is σ = 2933868583800. Its totient is φ = 299271684096.

The previous prime is 940500211927. The next prime is 940500211991. The reversal of 940500211968 is 869112005049.

940500211968 is a `hidden beast` number, since 9 + 40 + 500 + 2 + 11 + 96 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105162706944 + 835337505024 = 324288^2 + 913968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53510830 + ... + 53528402.

It is an arithmetic number, because the mean of its divisors is an integer number (8149634955).

Almost surely, 2^940500211968 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 940500211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466934291900).

940500211968 is an abundant number, since it is smaller than the sum of its proper divisors (1993368371832).

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

940500211968 is a wasteful number, since it uses less digits than its factorization.

940500211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17719 (or 17696 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 940500211968 in words is "nine hundred forty billion, five hundred million, two hundred eleven thousand, nine hundred sixty-eight".