11140003995120 has 2880 divisors, whose sum is σ = 53298200696832. Its totient is φ = 2103775027200.

The previous prime is 11140003995119. The next prime is 11140003995137. The reversal of 11140003995120 is 2159930004111.

11140003995120 is a `hidden beast` number, since 1 + 1 + 140 + 0 + 0 + 399 + 5 + 120 = 666.

It is a super-2 number, since 2×11140003995120² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15197822274 + ... + 15197823006.

Almost surely, 2^{11140003995120} is an apocalyptic number.

11140003995120 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 11140003995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649100348416).

11140003995120 is an abundant number, since it is smaller than the sum of its proper divisors (42158196701712).

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

11140003995120 is a wasteful number, since it uses less digits than its factorization.

11140003995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Adding to 11140003995120 its reverse (2159930004111), we get a palindrome (13299933999231).

The spelling of 11140003995120 in words is "eleven trillion, one hundred forty billion, three million, nine hundred ninety-five thousand, one hundred twenty".