39998646688000 has 1296 divisors, whose sum is σ = 137213653095792. Its totient is φ = 11507392512000.

The previous prime is 39998646687971. The next prime is 39998646688027. The reversal of 39998646688000 is 88664689993.

It can be written as a sum of positive squares in 8 ways, for example, as 14184443218176 + 25814203469824 = 3766224^2 + 5080768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39998646687899 and 39998646687908.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2466455892 + ... + 2466472108.

It is an arithmetic number, because the mean of its divisors is an integer number (105874732327).

Almost surely, 2^{39998646688000} 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 39998646688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68606826547896).

39998646688000 is an abundant number, since it is smaller than the sum of its proper divisors (97215006407792).

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

39998646688000 is a wasteful number, since it uses less digits than its factorization.

39998646688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16297 (or 16255 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 76.

The spelling of 39998646688000 in words is "thirty-nine trillion, nine hundred ninety-eight billion, six hundred forty-six million, six hundred eighty-eight thousand".