14413353240 has 256 divisors, whose sum is σ = 51121082880. Its totient is φ = 3204956160.

The previous prime is 14413353217. The next prime is 14413353247. The reversal of 14413353240 is 4235331441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14413353198 and 14413353207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413353247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2794504 + ... + 2799656.

It is an arithmetic number, because the mean of its divisors is an integer number (199691730).

Almost surely, 2^14413353240 is an apocalyptic number.

14413353240 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 14413353240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25560541440).

14413353240 is an abundant number, since it is smaller than the sum of its proper divisors (36707729640).

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

14413353240 is a wasteful number, since it uses less digits than its factorization.

14413353240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14413353240 its reverse (4235331441), we get a palindrome (18648684681).

It can be divided in two parts, 14413 and 353240, that added together give a triangular number (367653 = T₈₅₇).

The spelling of 14413353240 in words is "fourteen billion, four hundred thirteen million, three hundred fifty-three thousand, two hundred forty".