1413141120 has 256 divisors, whose sum is σ = 5102611200. Its totient is φ = 369487872.

The previous prime is 1413141101. The next prime is 1413141161. The reversal of 1413141120 is 211413141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1413141093 and 1413141102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915069 + ... + 916611.

It is an arithmetic number, because the mean of its divisors is an integer number (19932075).

Almost surely, 2^1413141120 is an apocalyptic number.

1413141120 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 1413141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551305600).

1413141120 is an abundant number, since it is smaller than the sum of its proper divisors (3689470080).

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

1413141120 is a wasteful number, since it uses less digits than its factorization.

1413141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1413141120 is about 37591.7693119119. The cubic root of 1413141120 is about 1122.1782438661.

Adding to 1413141120 its reverse (211413141), we get a palindrome (1624554261).

The spelling of 1413141120 in words is "one billion, four hundred thirteen million, one hundred forty-one thousand, one hundred twenty".