10438424031025 has 81 divisors (see below), whose sum is σ = 13884847108203. Its totient is φ = 7783517397600.

The previous prime is 10438424030981. The next prime is 10438424031031. The reversal of 10438424031025 is 52013042483401.

The square root of 10438424031025 is 3230855.

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., 3757832651169 + 6680591379856 = 1938513^2 + 2584684^2 .

It is not a de Polignac number, because 10438424031025 - 2⁷ = 10438424030897 is a prime.

It is a Duffinian number.

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, 21792116736 + ... + 21792117214.

Almost surely, 2^{10438424031025} is an apocalyptic number.

10438424031025 is the 3230855-th square number.

10438424031025 is the 1615428-th centered octagonal number.

It is an amenable number.

10438424031025 is a deficient number, since it is larger than the sum of its proper divisors (3446423077178).

10438424031025 is an frugal number, since it uses more digits than its factorization.

10438424031025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 10438424031025 in words is "ten trillion, four hundred thirty-eight billion, four hundred twenty-four million, thirty-one thousand, twenty-five".