10001334443140 has 24 divisors (see below), whose sum is σ = 21010442607000. Its totient is φ = 3999078486528.

The previous prime is 10001334443131. The next prime is 10001334443159. The reversal of 10001334443140 is 4134443310001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 491154278976 + 9510180164164 = 700824^2 + 3083858^2 .

It is a super-3 number, since 3×10001334443140³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001334443099 and 10001334443108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90899317 + ... + 91009276.

It is an arithmetic number, because the mean of its divisors is an integer number (875435108625).

Almost surely, 2^{10001334443140} is an apocalyptic number.

10001334443140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001334443140 is an abundant number, since it is smaller than the sum of its proper divisors (11009108163860).

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

10001334443140 is a wasteful number, since it uses less digits than its factorization.

10001334443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181911351 (or 181911349 counting only the distinct ones).

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

Adding to 10001334443140 its reverse (4134443310001), we get a palindrome (14135777753141).

The spelling of 10001334443140 in words is "ten trillion, one billion, three hundred thirty-four million, four hundred forty-three thousand, one hundred forty".