276440044672 has 128 divisors (see below), whose sum is σ = 610963663680. Its totient is φ = 123533414400.

The previous prime is 276440044631. The next prime is 276440044679.

276440044672 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (276440044679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52542522 + ... + 52547782.

Almost surely, 2^276440044672 is an apocalyptic number.

276440044672 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 276440044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305481831840).

276440044672 is an abundant number, since it is smaller than the sum of its proper divisors (334523619008).

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

276440044672 is a wasteful number, since it uses less digits than its factorization.

276440044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 46.

The spelling of 276440044672 in words is "two hundred seventy-six billion, four hundred forty million, forty-four thousand, six hundred seventy-two".