10844124480 has 560 divisors, whose sum is σ = 44876557440. Its totient is φ = 2434240512.

The previous prime is 10844124451. The next prime is 10844124493. The reversal of 10844124480 is 8442144801.

10844124480 is a `hidden beast` number, since 10 + 8 + 44 + 124 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10704454 + ... + 10705466.

Almost surely, 2^10844124480 is an apocalyptic number.

10844124480 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 10844124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438278720).

10844124480 is an abundant number, since it is smaller than the sum of its proper divisors (34032432960).

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

10844124480 is a wasteful number, since it uses less digits than its factorization.

10844124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 10844124480 in words is "ten billion, eight hundred forty-four million, one hundred twenty-four thousand, four hundred eighty".