11414431120 has 20 divisors (see below), whose sum is σ = 26538552540. Its totient is φ = 4565772416.

The previous prime is 11414431079. The next prime is 11414431121. The reversal of 11414431120 is 2113441411.

It can be written as a sum of positive squares in 2 ways, for example, as 3990196224 + 7424234896 = 63168^2 + 86164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11414431091 and 11414431100.

It is not an unprimeable number, because it can be changed into a prime (11414431121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71340115 + ... + 71340274.

It is an arithmetic number, because the mean of its divisors is an integer number (1326927627).

Almost surely, 2^11414431120 is an apocalyptic number.

11414431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414431120 is an abundant number, since it is smaller than the sum of its proper divisors (15124121420).

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

11414431120 is a wasteful number, since it uses less digits than its factorization.

11414431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142680402 (or 142680396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11414431120 its reverse (2113441411), we get a palindrome (13527872531).

The spelling of 11414431120 in words is "eleven billion, four hundred fourteen million, four hundred thirty-one thousand, one hundred twenty".