10440384192 has 336 divisors, whose sum is σ = 36701333760. Its totient is φ = 2879235072.

The previous prime is 10440384187. The next prime is 10440384203. The reversal of 10440384192 is 29148304401.

It is a happy number.

10440384192 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 (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3155403 + ... + 3158709.

It is an arithmetic number, because the mean of its divisors is an integer number (109230160).

Almost surely, 2^10440384192 is an apocalyptic number.

10440384192 is a gapful number since it is divisible by the number (12) 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 10440384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350666880).

10440384192 is an abundant number, since it is smaller than the sum of its proper divisors (26260949568).

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

10440384192 is an equidigital number, since it uses as much as digits as its factorization.

10440384192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 10440384192 its reverse (29148304401), we get a palindrome (39588688593).

The spelling of 10440384192 in words is "ten billion, four hundred forty million, three hundred eighty-four thousand, one hundred ninety-two".