1039033648900 has 81 divisors (see below), whose sum is σ = 2441794563453. Its totient is φ = 383594265600.

The previous prime is 1039033648811. The next prime is 1039033648951. The reversal of 1039033648900 is 98463309301.

The square root of 1039033648900 is 1019330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1028492109316 + 10541539584 = 1014146^2 + 102672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132508980 + ... + 132516820.

Almost surely, 2^{1039033648900} is an apocalyptic number.

1039033648900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1039033648900 is the 1019330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039033648900

1039033648900 is an abundant number, since it is smaller than the sum of its proper divisors (1402760914553).

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

1039033648900 is an frugal number, since it uses more digits than its factorization.

1039033648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 1039033648900 in words is "one trillion, thirty-nine billion, thirty-three million, six hundred forty-eight thousand, nine hundred".