11408509808640 has 1248 divisors, whose sum is σ = 47911829921280. Its totient is φ = 2522718535680.

The previous prime is 11408509808627. The next prime is 11408509808653. The reversal of 11408509808640 is 4680890580411.

It is a happy number.

11408509808640 is a `hidden beast` number, since 1 + 14 + 0 + 8 + 509 + 8 + 0 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11408509808627) and next prime (11408509808653).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3719760387 + ... + 3719763453.

It is an arithmetic number, because the mean of its divisors is an integer number (38390889360).

Almost surely, 2^{11408509808640} is an apocalyptic number.

11408509808640 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 11408509808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955914960640).

11408509808640 is an abundant number, since it is smaller than the sum of its proper divisors (36503320112640).

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

11408509808640 is an equidigital number, since it uses as much as digits as its factorization.

11408509808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 11408509808640 in words is "eleven trillion, four hundred eight billion, five hundred nine million, eight hundred eight thousand, six hundred forty".