1413022120 has 64 divisors (see below), whose sum is σ = 3233260800. Its totient is φ = 555663360.

The previous prime is 1413022103. The next prime is 1413022123. The reversal of 1413022120 is 212203141.

It is a junction number, because it is equal to n+sod(n) for n = 1413022094 and 1413022103.

It is not an unprimeable number, because it can be changed into a prime (1413022123) 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, 1837096 + ... + 1837864.

It is an arithmetic number, because the mean of its divisors is an integer number (50519700).

Almost surely, 2^1413022120 is an apocalyptic number.

1413022120 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 1413022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616630400).

1413022120 is an abundant number, since it is smaller than the sum of its proper divisors (1820238680).

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

1413022120 is a wasteful number, since it uses less digits than its factorization.

1413022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1413022120 is about 37590.1864853049. The cubic root of 1413022120 is about 1122.1467436011.

Adding to 1413022120 its reverse (212203141), we get a palindrome (1625225261).

The spelling of 1413022120 in words is "one billion, four hundred thirteen million, twenty-two thousand, one hundred twenty".