10439024978704 has 405 divisors, whose sum is σ = 25620618777663. Its totient is φ = 4107904829952.

The previous prime is 10439024978689. The next prime is 10439024978731. The reversal of 10439024978704 is 40787942093401.

It is a happy number.

The square root of 10439024978704 is 3230948.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2438906890000 + 8000118088704 = 1561700^2 + 2828448^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60341184762 + ... + 60341184934.

Almost surely, 2^{10439024978704} is an apocalyptic number.

10439024978704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10439024978704 is the 3230948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10439024978704

10439024978704 is an abundant number, since it is smaller than the sum of its proper divisors (15181593798959).

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

10439024978704 is an equidigital number, since it uses as much as digits as its factorization.

10439024978704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 10439024978704 in words is "ten trillion, four hundred thirty-nine billion, twenty-four million, nine hundred seventy-eight thousand, seven hundred four".