10544403408 has 320 divisors, whose sum is σ = 36146829312. Its totient is φ = 2564259840.

The previous prime is 10544403407. The next prime is 10544403409. The reversal of 10544403408 is 80430444501.

It is an interprime number because it is at equal distance from previous prime (10544403407) and next prime (10544403409).

It is a super-2 number, since 2×10544403408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544403407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17781160 + ... + 17781752.

Almost surely, 2^10544403408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073414656).

10544403408 is an abundant number, since it is smaller than the sum of its proper divisors (25602425904).

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

10544403408 is a wasteful number, since it uses less digits than its factorization.

10544403408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 10544403408 its reverse (80430444501), we get a palindrome (90974847909).

The spelling of 10544403408 in words is "ten billion, five hundred forty-four million, four hundred three thousand, four hundred eight".