10402444200414 has 128 divisors (see below), whose sum is σ = 24190934077440. Its totient is φ = 2920763349504.

The previous prime is 10402444200413. The next prime is 10402444200419. The reversal of 10402444200414 is 41400244420401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402444200413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931028532 + ... + 931039704.

It is an arithmetic number, because the mean of its divisors is an integer number (188991672480).

Almost surely, 2^{10402444200414} is an apocalyptic number.

10402444200414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402444200414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095467038720).

10402444200414 is an abundant number, since it is smaller than the sum of its proper divisors (13788489877026).

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

10402444200414 is a wasteful number, since it uses less digits than its factorization.

10402444200414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 10402444200414 its reverse (41400244420401), we get a palindrome (51802688620815).

The spelling of 10402444200414 in words is "ten trillion, four hundred two billion, four hundred forty-four million, two hundred thousand, four hundred fourteen".