10384071162320 has 40 divisors (see below), whose sum is σ = 24414234743880. Its totient is φ = 4106958479360.

The previous prime is 10384071162301. The next prime is 10384071162343. The reversal of 10384071162320 is 2326117048301.

It can be written as a sum of positive squares in 4 ways, for example, as 5699646016 + 10378371516304 = 75496^2 + 3221548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729211361 + ... + 729225600.

It is an arithmetic number, because the mean of its divisors is an integer number (610355868597).

Almost surely, 2^{10384071162320} is an apocalyptic number.

10384071162320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10384071162320 is an abundant number, since it is smaller than the sum of its proper divisors (14030163581560).

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

10384071162320 is a wasteful number, since it uses less digits than its factorization.

10384071162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458437063 (or 1458437057 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 10384071162320 in words is "ten trillion, three hundred eighty-four billion, seventy-one million, one hundred sixty-two thousand, three hundred twenty".