3998404021248 has 2376 divisors, whose sum is σ = 16074590418432. Its totient is φ = 971376427008.

The previous prime is 3998404021223. The next prime is 3998404021319. The reversal of 3998404021248 is 8421204048993.

It is a happy number.

3998404021248 is a `hidden beast` number, since 39 + 9 + 84 + 0 + 402 + 124 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3998404021194 and 3998404021203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 85072425961 + ... + 85072426007.

Almost surely, 2^{3998404021248} 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 3998404021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037295209216).

3998404021248 is an abundant number, since it is smaller than the sum of its proper divisors (12076186397184).

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

3998404021248 is a wasteful number, since it uses less digits than its factorization.

3998404021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3998404021248 in words is "three trillion, nine hundred ninety-eight billion, four hundred four million, twenty-one thousand, two hundred forty-eight".