10312323840 has 720 divisors, whose sum is σ = 45456172608. Its totient is φ = 2173796352.

The previous prime is 10312323803. The next prime is 10312323883. The reversal of 10312323840 is 4832321301.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9434334 + ... + 9435426.

Almost surely, 2^10312323840 is an apocalyptic number.

10312323840 is a gapful number since it is divisible by the number (10) 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 10312323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22728086304).

10312323840 is an abundant number, since it is smaller than the sum of its proper divisors (35143848768).

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

10312323840 is a wasteful number, since it uses less digits than its factorization.

10312323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10312323840 in words is "ten billion, three hundred twelve million, three hundred twenty-three thousand, eight hundred forty".