3998405968128 has 324 divisors, whose sum is σ = 13618274250672. Its totient is φ = 1118434037760.

The previous prime is 3998405968097. The next prime is 3998405968133. The reversal of 3998405968128 is 8218695048993.

3998405968128 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 4 + 0 + 596 + 8 + 1 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3816375 + ... + 4749897.

Almost surely, 2^{3998405968128} 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 3998405968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809137125336).

3998405968128 is an abundant number, since it is smaller than the sum of its proper divisors (9619868282544).

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

3998405968128 is a wasteful number, since it uses less digits than its factorization.

3998405968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933582 (or 933552 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 3998405968128 in words is "three trillion, nine hundred ninety-eight billion, four hundred five million, nine hundred sixty-eight thousand, one hundred twenty-eight".