10200440134014 has 64 divisors (see below), whose sum is σ = 22743705277440. Its totient is φ = 3028244929920.

The previous prime is 10200440133991. The next prime is 10200440134033. The reversal of 10200440134014 is 41043104400201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1647819 + ... + 4807929.

It is an arithmetic number, because the mean of its divisors is an integer number (355370394960).

Almost surely, 2^{10200440134014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200440134014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371852638720).

10200440134014 is an abundant number, since it is smaller than the sum of its proper divisors (12543265143426).

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

10200440134014 is a wasteful number, since it uses less digits than its factorization.

10200440134014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161585.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10200440134014 its reverse (41043104400201), we get a palindrome (51243544534215).

The spelling of 10200440134014 in words is "ten trillion, two hundred billion, four hundred forty million, one hundred thirty-four thousand, fourteen".