1039628302272 has 1120 divisors, whose sum is σ = 3846814963200. Its totient is φ = 276531978240.

The previous prime is 1039628302261. The next prime is 1039628302309. The reversal of 1039628302272 is 2722038269301.

1039628302272 is a `hidden beast` number, since 1 + 0 + 396 + 2 + 8 + 30 + 227 + 2 = 666.

It is a super-2 number, since 2×1039628302272² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4927148247 + ... + 4927148457.

Almost surely, 2^{1039628302272} is an apocalyptic number.

1039628302272 is a gapful number since it is divisible by the number (12) 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 1039628302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923407481600).

1039628302272 is an abundant number, since it is smaller than the sum of its proper divisors (2807186660928).

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

1039628302272 is a wasteful number, since it uses less digits than its factorization.

1039628302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1039628302272 in words is "one trillion, thirty-nine billion, six hundred twenty-eight million, three hundred two thousand, two hundred seventy-two".