11051124414000 has 960 divisors, whose sum is σ = 41855675636736. Its totient is φ = 2479196160000.

The previous prime is 11051124413999. The next prime is 11051124414067. The reversal of 11051124414000 is 41442115011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4174960677 + ... + 4174963323.

Almost surely, 2^{11051124414000} is an apocalyptic number.

11051124414000 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 11051124414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20927837818368).

11051124414000 is an abundant number, since it is smaller than the sum of its proper divisors (30804551222736).

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

11051124414000 is a wasteful number, since it uses less digits than its factorization.

11051124414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 11051124414000 its reverse (41442115011), we get a palindrome (11092566529011).

The spelling of 11051124414000 in words is "eleven trillion, fifty-one billion, one hundred twenty-four million, four hundred fourteen thousand".