1413414132 has 48 divisors (see below), whose sum is σ = 3565904832. Its totient is φ = 433152000.

The previous prime is 1413414131. The next prime is 1413414137. The reversal of 1413414132 is 2314143141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413414131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21108 + ... + 57204.

It is an arithmetic number, because the mean of its divisors is an integer number (74289684).

Almost surely, 2^1413414132 is an apocalyptic number.

1413414132 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 1413414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782952416).

1413414132 is an abundant number, since it is smaller than the sum of its proper divisors (2152490700).

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

1413414132 is a wasteful number, since it uses less digits than its factorization.

1413414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36368 (or 36366 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1413414132 is about 37595.4004101566. The cubic root of 1413414132 is about 1122.2505056747.

Adding to 1413414132 its reverse (2314143141), we get a palindrome (3727557273).

The spelling of 1413414132 in words is "one billion, four hundred thirteen million, four hundred fourteen thousand, one hundred thirty-two".