27440066400 has 144 divisors (see below), whose sum is σ = 91218161664. Its totient is φ = 7161633280.

The previous prime is 27440066393. The next prime is 27440066431. The reversal of 27440066400 is 466004472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8832 + ... + 234431.

It is an arithmetic number, because the mean of its divisors is an integer number (633459456).

Almost surely, 2^27440066400 is an apocalyptic number.

27440066400 is a gapful number since it is divisible by the number (20) 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 27440066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45609080832).

27440066400 is an abundant number, since it is smaller than the sum of its proper divisors (63778095264).

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

27440066400 is a wasteful number, since it uses less digits than its factorization.

27440066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243333 (or 243320 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 27440066400 in words is "twenty-seven billion, four hundred forty million, sixty-six thousand, four hundred".