10414130330440 has 32 divisors (see below), whose sum is σ = 23815921007160. Its totient is φ = 4097362752000.

The previous prime is 10414130330423. The next prime is 10414130330489. The reversal of 10414130330440 is 4403303141401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5834727208324 + 4579403122116 = 2415518^2 + 2139954^2 .

It is a super-2 number, since 2×10414130330440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10414130330399 and 10414130330408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134040661 + ... + 2134045540.

Almost surely, 2^{10414130330440} is an apocalyptic number.

10414130330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414130330440 is an abundant number, since it is smaller than the sum of its proper divisors (13401790676720).

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

10414130330440 is a wasteful number, since it uses less digits than its factorization.

10414130330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268086273 (or 4268086269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10414130330440 its reverse (4403303141401), we get a palindrome (14817433471841).

The spelling of 10414130330440 in words is "ten trillion, four hundred fourteen billion, one hundred thirty million, three hundred thirty thousand, four hundred forty".