11041459384320 has 832 divisors, whose sum is σ = 41414744448000. Its totient is φ = 2783011405824.

The previous prime is 11041459384313. The next prime is 11041459384337. The reversal of 11041459384320 is 2348395414011.

11041459384320 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 14 + 593 + 8 + 43 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5978049637 + ... + 5978051483.

Almost surely, 2^{11041459384320} is an apocalyptic number.

11041459384320 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 11041459384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707372224000).

11041459384320 is an abundant number, since it is smaller than the sum of its proper divisors (30373285063680).

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

11041459384320 is a wasteful number, since it uses less digits than its factorization.

11041459384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11041459384320 in words is "eleven trillion, forty-one billion, four hundred fifty-nine million, three hundred eighty-four thousand, three hundred twenty".