14013414720 has 280 divisors, whose sum is σ = 50913206784. Its totient is φ = 3657083904.

The previous prime is 14013414719. The next prime is 14013414731. The reversal of 14013414720 is 2741431041.

14013414720 is a `hidden beast` number, since 140 + 13 + 41 + 472 + 0 = 666.

It is a super-2 number, since 2×14013414720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1212489 + ... + 1223991.

Almost surely, 2^14013414720 is an apocalyptic number.

14013414720 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 14013414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25456603392).

14013414720 is an abundant number, since it is smaller than the sum of its proper divisors (36899792064).

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

14013414720 is a wasteful number, since it uses less digits than its factorization.

14013414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11579 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 14013414720 its reverse (2741431041), we get a palindrome (16754845761).

The spelling of 14013414720 in words is "fourteen billion, thirteen million, four hundred fourteen thousand, seven hundred twenty".