10413034144000 has 72 divisors (see below), whose sum is σ = 25940169761688. Its totient is φ = 4165213644800.

The previous prime is 10413034143997. The next prime is 10413034144021. The reversal of 10413034144000 is 44143031401.

It can be written as a sum of positive squares in 4 ways, for example, as 2941252440064 + 7471781703936 = 1715008^2 + 2733456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162671659 + ... + 162735658.

It is an arithmetic number, because the mean of its divisors is an integer number (360280135579).

Almost surely, 2^{10413034144000} is an apocalyptic number.

10413034144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10413034144000 is an abundant number, since it is smaller than the sum of its proper divisors (15527135617688).

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

10413034144000 is an frugal number, since it uses more digits than its factorization.

10413034144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325407348 (or 325407324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10413034144000 its reverse (44143031401), we get a palindrome (10457177175401).

The spelling of 10413034144000 in words is "ten trillion, four hundred thirteen billion, thirty-four million, one hundred forty-four thousand".