10312244040 has 192 divisors, whose sum is σ = 36042148800. Its totient is φ = 2353516032.

The previous prime is 10312244017. The next prime is 10312244069. The reversal of 10312244040 is 4044221301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10312243998 and 10312244016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7225807 + ... + 7227233.

It is an arithmetic number, because the mean of its divisors is an integer number (187719525).

Almost surely, 2^10312244040 is an apocalyptic number.

10312244040 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 10312244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021074400).

10312244040 is an abundant number, since it is smaller than the sum of its proper divisors (25729904760).

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

10312244040 is a wasteful number, since it uses less digits than its factorization.

10312244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10312244040 its reverse (4044221301), we get a palindrome (14356465341).

The spelling of 10312244040 in words is "ten billion, three hundred twelve million, two hundred forty-four thousand, forty".