1039912691328 has 2048 divisors, whose sum is σ = 4162461696000. Its totient is φ = 251539292160.

The previous prime is 1039912691327. The next prime is 1039912691351. The reversal of 1039912691328 is 8231962199301.

1039912691328 is a `hidden beast` number, since 10 + 399 + 126 + 91 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1039912691327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19620994150 + ... + 19620994202.

It is an arithmetic number, because the mean of its divisors is an integer number (2032452000).

Almost surely, 2^{1039912691328} is an apocalyptic number.

1039912691328 is a gapful number since it is divisible by the number (18) 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 1039912691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081230848000).

1039912691328 is an abundant number, since it is smaller than the sum of its proper divisors (3122549004672).

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

1039912691328 is an equidigital number, since it uses as much as digits as its factorization.

1039912691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1039912691328 in words is "one trillion, thirty-nine billion, nine hundred twelve million, six hundred ninety-one thousand, three hundred twenty-eight".