10440984590160 has 160 divisors (see below), whose sum is σ = 33122051719680. Its totient is φ = 2719325274624.

The previous prime is 10440984590131. The next prime is 10440984590161. The reversal of 10440984590160 is 6109548904401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440984590161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213671811 + ... + 213720669.

It is an arithmetic number, because the mean of its divisors is an integer number (207012823248).

Almost surely, 2^{10440984590160} is an apocalyptic number.

10440984590160 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 10440984590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561025859840).

10440984590160 is an abundant number, since it is smaller than the sum of its proper divisors (22681067129520).

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

10440984590160 is a wasteful number, since it uses less digits than its factorization.

10440984590160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69625 (or 69619 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 10440984590160 in words is "ten trillion, four hundred forty billion, nine hundred eighty-four million, five hundred ninety thousand, one hundred sixty".