10402002304144 has 80 divisors (see below), whose sum is σ = 22698222649344. Its totient is φ = 4575067113600.

The previous prime is 10402002304097. The next prime is 10402002304217. The reversal of 10402002304144 is 44140320020401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43326417 + ... + 43565839.

Almost surely, 2^{10402002304144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402002304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349111324672).

10402002304144 is an abundant number, since it is smaller than the sum of its proper divisors (12296220345200).

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

10402002304144 is a wasteful number, since it uses less digits than its factorization.

10402002304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247436 (or 247430 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10402002304144 its reverse (44140320020401), we get a palindrome (54542322324545).

The spelling of 10402002304144 in words is "ten trillion, four hundred two billion, two million, three hundred four thousand, one hundred forty-four".