10323451440 has 120 divisors (see below), whose sum is σ = 34688047680. Its totient is φ = 2751455232.

The previous prime is 10323451423. The next prime is 10323451447. The reversal of 10323451440 is 4415432301.

It is a happy number.

10323451440 is a `hidden beast` number, since 103 + 2 + 3 + 4 + 514 + 40 = 666.

10323451440 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 (120).

It is not an unprimeable number, because it can be changed into a prime (10323451447) 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 23 ways as a sum of consecutive naturals, for example, 2404816 + ... + 2409104.

It is an arithmetic number, because the mean of its divisors is an integer number (289067064).

Almost surely, 2^10323451440 is an apocalyptic number.

10323451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10323451440 is an abundant number, since it is smaller than the sum of its proper divisors (24364596240).

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

10323451440 is a wasteful number, since it uses less digits than its factorization.

10323451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10323451440 its reverse (4415432301), we get a palindrome (14738883741).

The spelling of 10323451440 in words is "ten billion, three hundred twenty-three million, four hundred fifty-one thousand, four hundred forty".