10040314000 has 80 divisors (see below), whose sum is σ = 24299913456. Its totient is φ = 4012416000.

The previous prime is 10040313991. The next prime is 10040314021. The reversal of 10040314000 is 41304001.

It can be written as a sum of positive squares in 8 ways, for example, as 114575616 + 9925738384 = 10704^2 + 99628^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3440542 + ... + 3443458.

Almost surely, 2^10040314000 is an apocalyptic number.

10040314000 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 10040314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149956728).

10040314000 is an abundant number, since it is smaller than the sum of its proper divisors (14259599456).

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

10040314000 is a wasteful number, since it uses less digits than its factorization.

10040314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10040314000 its reverse (41304001), we get a palindrome (10081618001).

Subtracting from 10040314000 its reverse (41304001), we obtain a palindrome (9999009999).

The spelling of 10040314000 in words is "ten billion, forty million, three hundred fourteen thousand".