3994418455776 has 576 divisors, whose sum is σ = 14188413657600. Its totient is φ = 1079885592576.

The previous prime is 3994418455771. The next prime is 3994418455849. The reversal of 3994418455776 is 6775548144993.

3994418455776 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 4 + 1 + 8 + 45 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994418455771) by changing a digit.

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, 1105566546 + ... + 1105570158.

It is an arithmetic number, because the mean of its divisors is an integer number (24632662600).

Almost surely, 2^{3994418455776} is an apocalyptic number.

3994418455776 is a gapful number since it is divisible by the number (36) 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 3994418455776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094206828800).

3994418455776 is an abundant number, since it is smaller than the sum of its proper divisors (10193995201824).

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

3994418455776 is a wasteful number, since it uses less digits than its factorization.

3994418455776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4713 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 3994418455776 in words is "three trillion, nine hundred ninety-four billion, four hundred eighteen million, four hundred fifty-five thousand, seven hundred seventy-six".