11408418560 has 144 divisors (see below), whose sum is σ = 34069980672. Its totient is φ = 3555840000.

The previous prime is 11408418557. The next prime is 11408418563. The reversal of 11408418560 is 6581480411.

It is an interprime number because it is at equal distance from previous prime (11408418557) and next prime (11408418563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11408418563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40685 + ... + 156435.

It is an arithmetic number, because the mean of its divisors is an integer number (236597088).

Almost surely, 2^11408418560 is an apocalyptic number.

11408418560 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 11408418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034990336).

11408418560 is an abundant number, since it is smaller than the sum of its proper divisors (22661562112).

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

11408418560 is a wasteful number, since it uses less digits than its factorization.

11408418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115790 (or 115776 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

Adding to 11408418560 its reverse (6581480411), we get a palindrome (17989898971).

The spelling of 11408418560 in words is "eleven billion, four hundred eight million, four hundred eighteen thousand, five hundred sixty".