1004202329376 has 192 divisors, whose sum is σ = 2740568463360. Its totient is φ = 321727503360.

The previous prime is 1004202329359. The next prime is 1004202329387. The reversal of 1004202329376 is 6739232024001.

1004202329376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495412075 + ... + 495414101.

It is an arithmetic number, because the mean of its divisors is an integer number (14273794080).

Almost surely, 2^{1004202329376} is an apocalyptic number.

1004202329376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004202329376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370284231680).

1004202329376 is an abundant number, since it is smaller than the sum of its proper divisors (1736366133984).

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

1004202329376 is a wasteful number, since it uses less digits than its factorization.

1004202329376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 1004202329376 in words is "one trillion, four billion, two hundred two million, three hundred twenty-nine thousand, three hundred seventy-six".