3994414953984 has 800 divisors, whose sum is σ = 14730398819136. Its totient is φ = 1049394216960.

The previous prime is 3994414953941. The next prime is 3994414954009. The reversal of 3994414953984 is 4893594144993.

It is a happy number.

3994414953984 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 4 + 1 + 4 + 9 + 539 + 84 = 666.

It is a super-2 number, since 2×3994414953984² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1045382794 + ... + 1045386614.

Almost surely, 2^{3994414953984} 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 3994414953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365199409568).

3994414953984 is an abundant number, since it is smaller than the sum of its proper divisors (10735983865152).

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

3994414953984 is a wasteful number, since it uses less digits than its factorization.

3994414953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4123 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 3994414953984 in words is "three trillion, nine hundred ninety-four billion, four hundred fourteen million, nine hundred fifty-three thousand, nine hundred eighty-four".