10402324333344 has 144 divisors (see below), whose sum is σ = 30079560269304. Its totient is φ = 3409122816000.

The previous prime is 10402324333213. The next prime is 10402324333361. The reversal of 10402324333344 is 44333342320401.

10402324333344 is a `hidden beast` number, since 1 + 0 + 40 + 2 + 3 + 243 + 33 + 344 = 666.

10402324333344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5921532896400 + 4480791436944 = 2433420^2 + 2116788^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10402324333299 and 10402324333308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40859244 + ... + 41113044.

Almost surely, 2^{10402324333344} 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 10402324333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039780134652).

10402324333344 is an abundant number, since it is smaller than the sum of its proper divisors (19677235935960).

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

10402324333344 is a wasteful number, since it uses less digits than its factorization.

10402324333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256211 (or 256200 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 10402324333344 its reverse (44333342320401), we get a palindrome (54735666653745).

The spelling of 10402324333344 in words is "ten trillion, four hundred two billion, three hundred twenty-four million, three hundred thirty-three thousand, three hundred forty-four".