1411224320 has 144 divisors (see below), whose sum is σ = 3740863392. Its totient is φ = 505774080.

The previous prime is 1411224293. The next prime is 1411224323. The reversal of 1411224320 is 234221141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1411224292 and 1411224301.

It is not an unprimeable number, because it can be changed into a prime (1411224323) 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 15 ways as a sum of consecutive naturals, for example, 1027154 + ... + 1028526.

It is an arithmetic number, because the mean of its divisors is an integer number (25978218).

Almost surely, 2^1411224320 is an apocalyptic number.

1411224320 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 1411224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870431696).

1411224320 is an abundant number, since it is smaller than the sum of its proper divisors (2329639072).

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

1411224320 is a wasteful number, since it uses less digits than its factorization.

1411224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1411224320 is about 37566.2657180615. The cubic root of 1411224320 is about 1121.6706360263.

Adding to 1411224320 its reverse (234221141), we get a palindrome (1645445461).

The spelling of 1411224320 in words is "one billion, four hundred eleven million, two hundred twenty-four thousand, three hundred twenty".