11026940424120 has 384 divisors, whose sum is σ = 40538976940800. Its totient is φ = 2582751080448.

The previous prime is 11026940424113. The next prime is 11026940424131. The reversal of 11026940424120 is 2142404962011.

11026940424120 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 6 + 9 + 404 + 241 + 2 + 0 = 666.

It is a super-3 number, since 3×11026940424120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7083067 + ... + 8498453.

It is an arithmetic number, because the mean of its divisors is an integer number (105570252450).

Almost surely, 2^{11026940424120} is an apocalyptic number.

11026940424120 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 11026940424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269488470400).

11026940424120 is an abundant number, since it is smaller than the sum of its proper divisors (29512036516680).

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

11026940424120 is a wasteful number, since it uses less digits than its factorization.

11026940424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415507 (or 1415500 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11026940424120 in words is "eleven trillion, twenty-six billion, nine hundred forty million, four hundred twenty-four thousand, one hundred twenty".