11408221440 has 720 divisors, whose sum is σ = 50928958080. Its totient is φ = 2368880640.

The previous prime is 11408221439. The next prime is 11408221459. The reversal of 11408221440 is 4412280411.

11408221440 is a `hidden beast` number, since 1 + 1 + 408 + 2 + 214 + 40 = 666.

11408221440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7982646 + ... + 7984074.

It is an arithmetic number, because the mean of its divisors is an integer number (70734664).

Almost surely, 2^11408221440 is an apocalyptic number.

11408221440 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 11408221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25464479040).

11408221440 is an abundant number, since it is smaller than the sum of its proper divisors (39520736640).

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

11408221440 is a wasteful number, since it uses less digits than its factorization.

11408221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 11408221440 in words is "eleven billion, four hundred eight million, two hundred twenty-one thousand, four hundred forty".