10402241342304 has 96 divisors (see below), whose sum is σ = 31299326263296. Its totient is φ = 2963249694720.

The previous prime is 10402241342291. The next prime is 10402241342321. The reversal of 10402241342304 is 40324314220401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 22740192 + ... + 23193119.

It is an arithmetic number, because the mean of its divisors is an integer number (326034648576).

Almost surely, 2^{10402241342304} is an apocalyptic number.

10402241342304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10402241342304 is an abundant number, since it is smaller than the sum of its proper divisors (20897084920992).

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

10402241342304 is a wasteful number, since it uses less digits than its factorization.

10402241342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45933668 (or 45933660 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10402241342304 its reverse (40324314220401), we get a palindrome (50726555562705).

The spelling of 10402241342304 in words is "ten trillion, four hundred two billion, two hundred forty-one million, three hundred forty-two thousand, three hundred four".