11241404431110 has 192 divisors, whose sum is σ = 33513511629312. Its totient is φ = 2560977589248.

The previous prime is 11241404431091. The next prime is 11241404431199. The reversal of 11241404431110 is 1113440414211.

11241404431110 is a `hidden beast` number, since 1 + 1 + 241 + 404 + 4 + 3 + 1 + 1 + 10 = 666.

It is a super-3 number, since 3×11241404431110³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272650317 + ... + 272691543.

It is an arithmetic number, because the mean of its divisors is an integer number (174549539736).

Almost surely, 2^{11241404431110} is an apocalyptic number.

11241404431110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241404431110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756755814656).

11241404431110 is an abundant number, since it is smaller than the sum of its proper divisors (22272107198202).

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

11241404431110 is a wasteful number, since it uses less digits than its factorization.

11241404431110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42667 (or 42664 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11241404431110 its reverse (1113440414211), we get a palindrome (12354844845321).

The spelling of 11241404431110 in words is "eleven trillion, two hundred forty-one billion, four hundred four million, four hundred thirty-one thousand, one hundred ten".