11408788440 has 320 divisors, whose sum is σ = 45731727360. Its totient is φ = 2494229760.

The previous prime is 11408788403. The next prime is 11408788477. The reversal of 11408788440 is 4488780411.

It is a happy number.

11408788440 is a `hidden beast` number, since 11 + 40 + 87 + 88 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (11408788403) and next prime (11408788477).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 510705 + ... + 532575.

It is an arithmetic number, because the mean of its divisors is an integer number (142911648).

Almost surely, 2^11408788440 is an apocalyptic number.

11408788440 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 11408788440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22865863680).

11408788440 is an abundant number, since it is smaller than the sum of its proper divisors (34322938920).

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

11408788440 is a wasteful number, since it uses less digits than its factorization.

11408788440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21924 (or 21911 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 11408788440 in words is "eleven billion, four hundred eight million, seven hundred eighty-eight thousand, four hundred forty".