10342310040 has 240 divisors, whose sum is σ = 35303202000. Its totient is φ = 2715628032.

The previous prime is 10342310039. The next prime is 10342310081. The reversal of 10342310040 is 4001324301.

10342310040 is a `hidden beast` number, since 10 + 342 + 310 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10342309995 and 10342310022.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 17265661 + ... + 17266259.

It is an arithmetic number, because the mean of its divisors is an integer number (147096675).

Almost surely, 2^10342310040 is an apocalyptic number.

10342310040 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 10342310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651601000).

10342310040 is an abundant number, since it is smaller than the sum of its proper divisors (24960891960).

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

10342310040 is an equidigital number, since it uses as much as digits as its factorization.

10342310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10342310040 its reverse (4001324301), we get a palindrome (14343634341).

The spelling of 10342310040 in words is "ten billion, three hundred forty-two million, three hundred ten thousand, forty".