27434043472 has 60 divisors (see below), whose sum is σ = 58516254720. Its totient is φ = 12450518080.

The previous prime is 27434043391. The next prime is 27434043499.

It is a happy number.

27434043472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1265073 + ... + 1286575.

It is an arithmetic number, because the mean of its divisors is an integer number (975270912).

Almost surely, 2^27434043472 is an apocalyptic number.

27434043472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27434043472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258127360).

27434043472 is an abundant number, since it is smaller than the sum of its proper divisors (31082211248).

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

27434043472 is a wasteful number, since it uses less digits than its factorization.

27434043472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192 (or 22175 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

The spelling of 27434043472 in words is "twenty-seven billion, four hundred thirty-four million, forty-three thousand, four hundred seventy-two".