10331013440000 has 400 divisors, whose sum is σ = 28172458052640. Its totient is φ = 3752263680000.

The previous prime is 10331013439969. The next prime is 10331013440017. The reversal of 10331013440000 is 4431013301.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4959678959 + ... + 4959681041.

Almost surely, 2^{10331013440000} is an apocalyptic number.

10331013440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331013440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086229026320).

10331013440000 is an abundant number, since it is smaller than the sum of its proper divisors (17841444612640).

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

10331013440000 is an equidigital number, since it uses as much as digits as its factorization.

10331013440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10331013440000 its reverse (4431013301), we get a palindrome (10335444453301).

The spelling of 10331013440000 in words is "ten trillion, three hundred thirty-one billion, thirteen million, four hundred forty thousand".