11440142033040 has 240 divisors, whose sum is σ = 45095067683328. Its totient is φ = 2544216873984.

The previous prime is 11440142033029. The next prime is 11440142033167. The reversal of 11440142033040 is 4033024104411.

11440142033040 is a `hidden beast` number, since 1 + 1 + 440 + 14 + 203 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11440142033040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11440142032995 and 11440142033013.

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 47 ways as a sum of consecutive naturals, for example, 30487432 + ... + 30860391.

Almost surely, 2^{11440142033040} is an apocalyptic number.

11440142033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11440142033040 is an abundant number, since it is smaller than the sum of its proper divisors (33654925650288).

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

11440142033040 is a wasteful number, since it uses less digits than its factorization.

11440142033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61347886 (or 61347877 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11440142033040 its reverse (4033024104411), we get a palindrome (15473166137451).

The spelling of 11440142033040 in words is "eleven trillion, four hundred forty billion, one hundred forty-two million, thirty-three thousand, forty".