34405012430144 has 28 divisors (see below), whose sum is σ = 68465852950164. Its totient is φ = 17153773891584.

The previous prime is 34405012430083. The next prime is 34405012430153. The reversal of 34405012430144 is 44103421050443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25658277160000 + 8746735270144 = 5065400^2 + 2957488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 761419787 + ... + 761464970.

Almost surely, 2^{34405012430144} is an apocalyptic number.

It is an amenable number.

34405012430144 is a deficient number, since it is larger than the sum of its proper divisors (34060840520020).

34405012430144 is a wasteful number, since it uses less digits than its factorization.

34405012430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522885122 (or 1522885112 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 34405012430144 its reverse (44103421050443), we get a palindrome (78508433480587).

The spelling of 34405012430144 in words is "thirty-four trillion, four hundred five billion, twelve million, four hundred thirty thousand, one hundred forty-four".