11100439440 has 120 divisors (see below), whose sum is σ = 37663532088. Its totient is φ = 2929582080.

The previous prime is 11100439411. The next prime is 11100439451. The reversal of 11100439440 is 4493400111.

It can be written as a sum of positive squares in 4 ways, for example, as 3062958336 + 8037481104 = 55344^2 + 89652^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11100439440² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9631 + ... + 149310.

Almost surely, 2^11100439440 is an apocalyptic number.

11100439440 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 11100439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831766044).

11100439440 is an abundant number, since it is smaller than the sum of its proper divisors (26563092648).

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

11100439440 is a wasteful number, since it uses less digits than its factorization.

11100439440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159057 (or 159048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11100439440 its reverse (4493400111), we get a palindrome (15593839551).

The spelling of 11100439440 in words is "eleven billion, one hundred million, four hundred thirty-nine thousand, four hundred forty".