424610409329929 has 27 divisors (see below), whose sum is σ = 440756037202887. Its totient is φ = 409047772706064.

The previous prime is 424610409329863. The next prime is 424610409329933. The reversal of 424610409329929 is 929923904016424.

The square root of 424610409329929 is 20606077.

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., 379947225295225 + 44663184034704 = 19492235^2 + 6683052^2 .

It is not a de Polignac number, because 424610409329929 - 2¹³ = 424610409321737 is a prime.

It is a super-2 number, since 2×424610409329929² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (424610409309929) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78529756744 + ... + 78529762150.

It is an arithmetic number, because the mean of its divisors is an integer number (16324297674181).

Almost surely, 2^{424610409329929} is an apocalyptic number.

424610409329929 is the 20606077-th square number.

424610409329929 is the 10303039-th centered octagonal number.

It is an amenable number.

424610409329929 is a deficient number, since it is larger than the sum of its proper divisors (16145627872958).

424610409329929 is an frugal number, since it uses more digits than its factorization.

424610409329929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

The spelling of 424610409329929 in words is "four hundred twenty-four trillion, six hundred ten billion, four hundred nine million, three hundred twenty-nine thousand, nine hundred twenty-nine".