10040314230400 has 96 divisors (see below), whose sum is σ = 24808753349100. Its totient is φ = 4015147745280.

The previous prime is 10040314230347. The next prime is 10040314230403. The reversal of 10040314230400 is 403241304001.

It can be written as a sum of positive squares in 6 ways, for example, as 3528957616704 + 6511356613696 = 1878552^2 + 2551736^2 .

It is not an unprimeable number, because it can be changed into a prime (10040314230403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12832854 + ... + 13592746.

Almost surely, 2^{10040314230400} is an apocalyptic number.

10040314230400 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 10040314230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404376674550).

10040314230400 is an abundant number, since it is smaller than the sum of its proper divisors (14768439118700).

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

10040314230400 is an equidigital number, since it uses as much as digits as its factorization.

10040314230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764046 (or 764029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10040314230400 its reverse (403241304001), we get a palindrome (10443555534401).

The spelling of 10040314230400 in words is "ten trillion, forty billion, three hundred fourteen million, two hundred thirty thousand, four hundred".