940616312076 has 288 divisors, whose sum is σ = 2891956354560. Its totient is φ = 258983827200.

The previous prime is 940616311997. The next prime is 940616312087. The reversal of 940616312076 is 670213616049.

940616312076 is a `hidden beast` number, since 9 + 4 + 0 + 6 + 1 + 631 + 2 + 0 + 7 + 6 = 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, 439333966 + ... + 439336106.

It is an arithmetic number, because the mean of its divisors is an integer number (10041515120).

Almost surely, 2^940616312076 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 940616312076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445978177280).

940616312076 is an abundant number, since it is smaller than the sum of its proper divisors (1951340042484).

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

940616312076 is a wasteful number, since it uses less digits than its factorization.

940616312076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 940616312076 in words is "nine hundred forty billion, six hundred sixteen million, three hundred twelve thousand, seventy-six".