3944594481408 has 288 divisors, whose sum is σ = 13603343264000. Its totient is φ = 1127026317312.

The previous prime is 3944594481371. The next prime is 3944594481409. The reversal of 3944594481408 is 8041844954493.

3944594481408 is a `hidden beast` number, since 3 + 9 + 4 + 45 + 9 + 448 + 140 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3944594481409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538910 + ... + 3202722.

Almost surely, 2^{3944594481408} 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 3944594481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801671632000).

3944594481408 is an abundant number, since it is smaller than the sum of its proper divisors (9658748782592).

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

3944594481408 is an equidigital number, since it uses as much as digits as its factorization.

3944594481408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663859 (or 1663825 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3944594481408 in words is "three trillion, nine hundred forty-four billion, five hundred ninety-four million, four hundred eighty-one thousand, four hundred eight".