1039384328004 has 405 divisors, whose sum is σ = 3163764245103. Its totient is φ = 297286783200.

The previous prime is 1039384327999. The next prime is 1039384328027. The reversal of 1039384328004 is 4008234839301.

The square root of 1039384328004 is 1019502.

It is a perfect power (a square), and thus also a powerful number.

1039384328004 is a `hidden beast` number, since 103 + 9 + 38 + 432 + 80 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3835366389 + ... + 3835366659.

Almost surely, 2^{1039384328004} is an apocalyptic number.

1039384328004 is the 1019502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039384328004

1039384328004 is an abundant number, since it is smaller than the sum of its proper divisors (2124379917099).

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

1039384328004 is a wasteful number, since it uses less digits than its factorization.

1039384328004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1039384328004 in words is "one trillion, thirty-nine billion, three hundred eighty-four million, three hundred twenty-eight thousand, four".