1411314432 has 288 divisors, whose sum is σ = 4492744704. Its totient is φ = 388300800.

The previous prime is 1411314427. The next prime is 1411314439. The reversal of 1411314432 is 2344131141.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (1411314439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4451938 + ... + 4452254.

It is an arithmetic number, because the mean of its divisors is an integer number (15599808).

Almost surely, 2^1411314432 is an apocalyptic number.

1411314432 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 1411314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246372352).

1411314432 is an abundant number, since it is smaller than the sum of its proper divisors (3081430272).

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

1411314432 is a wasteful number, since it uses less digits than its factorization.

1411314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

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

The square root of 1411314432 is about 37567.4650728526. The cubic root of 1411314432 is about 1121.6945098196.

Adding to 1411314432 its reverse (2344131141), we get a palindrome (3755445573).

The spelling of 1411314432 in words is "one billion, four hundred eleven million, three hundred fourteen thousand, four hundred thirty-two".