11044961424 has 360 divisors, whose sum is σ = 37477645920. Its totient is φ = 3025161216.

The previous prime is 11044961377. The next prime is 11044961429. The reversal of 11044961424 is 42416944011.

It is a happy number.

11044961424 is a `hidden beast` number, since 1 + 10 + 4 + 4 + 9 + 614 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11044961429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17900764 + ... + 17901380.

It is an arithmetic number, because the mean of its divisors is an integer number (104104572).

Almost surely, 2^11044961424 is an apocalyptic number.

11044961424 is a gapful number since it is divisible by the number (14) 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 11044961424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738822960).

11044961424 is an abundant number, since it is smaller than the sum of its proper divisors (26432684496).

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

11044961424 is a wasteful number, since it uses less digits than its factorization.

11044961424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11044961424 in words is "eleven billion, forty-four million, nine hundred sixty-one thousand, four hundred twenty-four".