14781450240 has 480 divisors, whose sum is σ = 53941567680. Its totient is φ = 3870720000.

The previous prime is 14781450239. The next prime is 14781450253. The reversal of 14781450240 is 4205418741.

It is a happy number.

14781450240 is a `hidden beast` number, since 1 + 478 + 145 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14781450195 and 14781450204.

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, 58890115 + ... + 58890365.

It is an arithmetic number, because the mean of its divisors is an integer number (112378266).

Almost surely, 2^14781450240 is an apocalyptic number.

14781450240 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 14781450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970783840).

14781450240 is an abundant number, since it is smaller than the sum of its proper divisors (39160117440).

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

14781450240 is an equidigital number, since it uses as much as digits as its factorization.

14781450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 14781450240 its reverse (4205418741), we get a palindrome (18986868981).

The spelling of 14781450240 in words is "fourteen billion, seven hundred eighty-one million, four hundred fifty thousand, two hundred forty".