1416581120 has 78 divisors (see below), whose sum is σ = 3412354218. Its totient is φ = 564477952.

The previous prime is 1416581093. The next prime is 1416581123. The reversal of 1416581120 is 211856141.

It can be written as a sum of positive squares in only one way, i.e., 1133264896 + 283316224 = 33664^2 + 16832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416581123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5386109 + ... + 5386371.

It is an arithmetic number, because the mean of its divisors is an integer number (43748131).

Almost surely, 2^1416581120 is an apocalyptic number.

1416581120 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 1416581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706177109).

1416581120 is an abundant number, since it is smaller than the sum of its proper divisors (1995773098).

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

1416581120 is an frugal number, since it uses more digits than its factorization.

1416581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 1416581120 is about 37637.4961972765. The cubic root of 1416581120 is about 1123.0880763360.

The spelling of 1416581120 in words is "one billion, four hundred sixteen million, five hundred eighty-one thousand, one hundred twenty".