4094964003312 has 800 divisors, whose sum is σ = 14745931200000. Its totient is φ = 1068299974656.

The previous prime is 4094964003311. The next prime is 4094964003343. The reversal of 4094964003312 is 2133004694904.

4094964003312 is a `hidden beast` number, since 40 + 94 + 96 + 400 + 3 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4094964003311) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8206340439 + ... + 8206340937.

It is an arithmetic number, because the mean of its divisors is an integer number (18432414000).

Almost surely, 2^{4094964003312} is an apocalyptic number.

4094964003312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4094964003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372965600000).

4094964003312 is an abundant number, since it is smaller than the sum of its proper divisors (10650967196688).

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

4094964003312 is a wasteful number, since it uses less digits than its factorization.

4094964003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4094964003312 in words is "four trillion, ninety-four billion, nine hundred sixty-four million, three thousand, three hundred twelve".