11120414345040 has 320 divisors, whose sum is σ = 46285809518592. Its totient is φ = 2132986521600.

The previous prime is 11120414345039. The next prime is 11120414345087. The reversal of 11120414345040 is 4054341402111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11120414344989 and 11120414345007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22904146 + ... + 23384625.

Almost surely, 2^{11120414345040} is an apocalyptic number.

11120414345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120414345040 is an abundant number, since it is smaller than the sum of its proper divisors (35165395173552).

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

11120414345040 is a wasteful number, since it uses less digits than its factorization.

11120414345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46288818 (or 46288812 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11120414345040 its reverse (4054341402111), we get a palindrome (15174755747151).

The spelling of 11120414345040 in words is "eleven trillion, one hundred twenty billion, four hundred fourteen million, three hundred forty-five thousand, forty".