11418301440 has 792 divisors, whose sum is σ = 49691252520. Its totient is φ = 2402942976.

The previous prime is 11418301423. The next prime is 11418301441. The reversal of 11418301440 is 4410381411.

11418301440 is a `hidden beast` number, since 1 + 141 + 83 + 0 + 1 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 11416495104 = 1344^2 + 106848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11418301441) 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, 29352766 + ... + 29353154.

Almost surely, 2^11418301440 is an apocalyptic number.

11418301440 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 11418301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845626260).

11418301440 is an abundant number, since it is smaller than the sum of its proper divisors (38272951080).

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

11418301440 is a wasteful number, since it uses less digits than its factorization.

11418301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11418301440 its reverse (4410381411), we get a palindrome (15828682851).

The spelling of 11418301440 in words is "eleven billion, four hundred eighteen million, three hundred one thousand, four hundred forty".