11140612145424 has 240 divisors, whose sum is σ = 32324056128000. Its totient is φ = 3579081375744.

The previous prime is 11140612145419. The next prime is 11140612145459. The reversal of 11140612145424 is 42454121604111.

11140612145424 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 612 + 14 + 5 + 4 + 24 = 666.

It is a super-2 number, since 2×11140612145424² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332509057 + ... + 332542559.

It is an arithmetic number, because the mean of its divisors is an integer number (134683567200).

Almost surely, 2^{11140612145424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140612145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162028064000).

11140612145424 is an abundant number, since it is smaller than the sum of its proper divisors (21183443982576).

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

11140612145424 is a wasteful number, since it uses less digits than its factorization.

11140612145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34142 (or 34133 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 11140612145424 its reverse (42454121604111), we get a palindrome (53594733749535).

The spelling of 11140612145424 in words is "eleven trillion, one hundred forty billion, six hundred twelve million, one hundred forty-five thousand, four hundred twenty-four".