1413333240 has 384 divisors, whose sum is σ = 5056128000. Its totient is φ = 314772480.

The previous prime is 1413333151. The next prime is 1413333247. The reversal of 1413333240 is 423333141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1413333240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413333247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12966306 + ... + 12966414.

It is an arithmetic number, because the mean of its divisors is an integer number (13167000).

Almost surely, 2^1413333240 is an apocalyptic number.

1413333240 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 1413333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064000).

1413333240 is an abundant number, since it is smaller than the sum of its proper divisors (3642794760).

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

1413333240 is a wasteful number, since it uses less digits than its factorization.

1413333240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1413333240 is about 37594.3245716691. The cubic root of 1413333240 is about 1122.2290958563.

1413333240 divided by its sum of digits (24) gives a palindrome (58888885).

Adding to 1413333240 its reverse (423333141), we get a palindrome (1836666381).

Subtracting from 1413333240 its reverse (423333141), we obtain a palindrome (990000099).

The spelling of 1413333240 in words is "one billion, four hundred thirteen million, three hundred thirty-three thousand, two hundred forty".