11205451411140 has 72 divisors (see below), whose sum is σ = 36497756034432. Its totient is φ = 2561246036160.

The previous prime is 11205451411013. The next prime is 11205451411243. The reversal of 11205451411140 is 4111415450211.

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 = 11205451411098 and 11205451411107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1905686076 + ... + 1905691955.

It is an arithmetic number, because the mean of its divisors is an integer number (506913278256).

Almost surely, 2^{11205451411140} is an apocalyptic number.

11205451411140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205451411140 is an abundant number, since it is smaller than the sum of its proper divisors (25292304623292).

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

11205451411140 is a wasteful number, since it uses less digits than its factorization.

11205451411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811378057 (or 3811378048 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

Adding to 11205451411140 its reverse (4111415450211), we get a palindrome (15316866861351).

The spelling of 11205451411140 in words is "eleven trillion, two hundred five billion, four hundred fifty-one million, four hundred eleven thousand, one hundred forty".