11430445440 has 128 divisors (see below), whose sum is σ = 36472237920. Its totient is φ = 3044966400.

The previous prime is 11430445357. The next prime is 11430445471. The reversal of 11430445440 is 4454403411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11430445398 and 11430445407.

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 15 ways as a sum of consecutive naturals, for example, 2303442 + ... + 2308398.

Almost surely, 2^11430445440 is an apocalyptic number.

11430445440 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 11430445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18236118960).

11430445440 is an abundant number, since it is smaller than the sum of its proper divisors (25041792480).

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

11430445440 is a wasteful number, since it uses less digits than its factorization.

11430445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 11430445440 its reverse (4454403411), we get a palindrome (15884848851).

The spelling of 11430445440 in words is "eleven billion, four hundred thirty million, four hundred forty-five thousand, four hundred forty".