10414442784 has 48 divisors (see below), whose sum is σ = 27365748480. Its totient is φ = 3467946240.

The previous prime is 10414442771. The next prime is 10414442791. The reversal of 10414442784 is 48724441401.

10414442784 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 (48).

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 7 ways as a sum of consecutive naturals, for example, 40402 + ... + 149870.

It is an arithmetic number, because the mean of its divisors is an integer number (570119760).

Almost surely, 2^10414442784 is an apocalyptic number.

It is an amenable number.

10414442784 is an abundant number, since it is smaller than the sum of its proper divisors (16951305696).

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

10414442784 is a wasteful number, since it uses less digits than its factorization.

10414442784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110473 (or 110465 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The spelling of 10414442784 in words is "ten billion, four hundred fourteen million, four hundred forty-two thousand, seven hundred eighty-four".