10039468294144 has 51 divisors (see below), whose sum is σ = 20080405794997. Its totient is φ = 5019328577536.

The previous prime is 10039468294133. The next prime is 10039468294157. The reversal of 10039468294144 is 44149286493001.

The square root of 10039468294144 is 3168512.

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

It can be written as a sum of positive squares in only one way, i.e., 1147812249600 + 8891656044544 = 1071360^2 + 2981888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 811132884 + ... + 811145260.

Almost surely, 2^{10039468294144} is an apocalyptic number.

10039468294144 is the 3168512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10039468294144

10039468294144 is an abundant number, since it is smaller than the sum of its proper divisors (10040937500853).

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

10039468294144 is an frugal number, since it uses more digits than its factorization.

10039468294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24786 (or 12379 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 10039468294144 in words is "ten trillion, thirty-nine billion, four hundred sixty-eight million, two hundred ninety-four thousand, one hundred forty-four".