10440076704 has 96 divisors (see below), whose sum is σ = 27750812544. Its totient is φ = 3436339200.

The previous prime is 10440076679. The next prime is 10440076709. The reversal of 10440076704 is 40767004401.

10440076704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10440076709) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3963772 + ... + 3966404.

It is an arithmetic number, because the mean of its divisors is an integer number (289070964).

Almost surely, 2^10440076704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440076704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875406272).

10440076704 is an abundant number, since it is smaller than the sum of its proper divisors (17310735840).

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

10440076704 is a wasteful number, since it uses less digits than its factorization.

10440076704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 10440076704 in words is "ten billion, four hundred forty million, seventy-six thousand, seven hundred four".