1413441120 has 192 divisors, whose sum is σ = 5479971840. Its totient is φ = 298211328.

The previous prime is 1413441119. The next prime is 1413441131. The reversal of 1413441120 is 211443141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 27501 + ... + 59859.

It is an arithmetic number, because the mean of its divisors is an integer number (28541520).

Almost surely, 2^1413441120 is an apocalyptic number.

1413441120 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 1413441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739985920).

1413441120 is an abundant number, since it is smaller than the sum of its proper divisors (4066530720).

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

1413441120 is a wasteful number, since it uses less digits than its factorization.

1413441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32397 (or 32389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1413441120 is about 37595.7593353293. The cubic root of 1413441120 is about 1122.2576484512.

Adding to 1413441120 its reverse (211443141), we get a palindrome (1624884261).

The spelling of 1413441120 in words is "one billion, four hundred thirteen million, four hundred forty-one thousand, one hundred twenty".