10312351040 has 56 divisors (see below), whose sum is σ = 24636508512. Its totient is φ = 4111464960.

The previous prime is 10312351003. The next prime is 10312351069. The reversal of 10312351040 is 4015321301.

10312351040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 45755 + ... + 150725.

It is an arithmetic number, because the mean of its divisors is an integer number (439937652).

Almost surely, 2^10312351040 is an apocalyptic number.

10312351040 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 10312351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12318254256).

10312351040 is an abundant number, since it is smaller than the sum of its proper divisors (14324157472).

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

10312351040 is a wasteful number, since it uses less digits than its factorization.

10312351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105295 (or 105285 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10312351040 its reverse (4015321301), we get a palindrome (14327672341).

The spelling of 10312351040 in words is "ten billion, three hundred twelve million, three hundred fifty-one thousand, forty".