1414211232 has 192 divisors, whose sum is σ = 4551966720. Its totient is φ = 375238656.

The previous prime is 1414211231. The next prime is 1414211269. The reversal of 1414211232 is 2321124141.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1414211199 and 1414211208.

It is not an unprimeable number, because it can be changed into a prime (1414211231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901713 + ... + 903279.

It is an arithmetic number, because the mean of its divisors is an integer number (23708160).

Almost surely, 2^1414211232 is an apocalyptic number.

1414211232 is a gapful number since it is divisible by the number (12) 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 1414211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275983360).

1414211232 is an abundant number, since it is smaller than the sum of its proper divisors (3137755488).

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

1414211232 is a wasteful number, since it uses less digits than its factorization.

1414211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1675 counting only the distinct ones).

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

The square root of 1414211232 is about 37605.9999468170. Note that the first 4 decimals coincide. The cubic root of 1414211232 is about 1122.4614317696.

Adding to 1414211232 its reverse (2321124141), we get a palindrome (3735335373).

The spelling of 1414211232 in words is "one billion, four hundred fourteen million, two hundred eleven thousand, two hundred thirty-two".