11101431142240 has 48 divisors (see below), whose sum is σ = 26935972468272. Its totient is φ = 4320556982784.

The previous prime is 11101431142231. The next prime is 11101431142261. The reversal of 11101431142240 is 4224113410111.

It is a super-2 number, since 2×11101431142240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937614954 + ... + 937626793.

It is an arithmetic number, because the mean of its divisors is an integer number (561166093089).

Almost surely, 2^{11101431142240} is an apocalyptic number.

11101431142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101431142240 is an abundant number, since it is smaller than the sum of its proper divisors (15834541326032).

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

11101431142240 is a wasteful number, since it uses less digits than its factorization.

11101431142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875241799 (or 1875241791 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 11101431142240 its reverse (4224113410111), we get a palindrome (15325544552351).

The spelling of 11101431142240 in words is "eleven trillion, one hundred one billion, four hundred thirty-one million, one hundred forty-two thousand, two hundred forty".