11414433120 has 192 divisors, whose sum is σ = 37204199424. Its totient is φ = 2938613760.

The previous prime is 11414433109. The next prime is 11414433127. The reversal of 11414433120 is 2133441411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414433127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9567244 + ... + 9568436.

It is an arithmetic number, because the mean of its divisors is an integer number (193771872).

Almost surely, 2^11414433120 is an apocalyptic number.

11414433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602099712).

11414433120 is an abundant number, since it is smaller than the sum of its proper divisors (25789766304).

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

11414433120 is a wasteful number, since it uses less digits than its factorization.

11414433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11414433120 its reverse (2133441411), we get a palindrome (13547874531).

The spelling of 11414433120 in words is "eleven billion, four hundred fourteen million, four hundred thirty-three thousand, one hundred twenty".