14830255440 has 1280 divisors, whose sum is σ = 72395366400. Its totient is φ = 2694850560.

The previous prime is 14830255397. The next prime is 14830255469. The reversal of 14830255440 is 4455203841.

It is a happy number.

14830255440 is a `hidden beast` number, since 14 + 83 + 0 + 25 + 544 + 0 = 666.

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 = 14830255395 and 14830255404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 780539751 + ... + 780539769.

It is an arithmetic number, because the mean of its divisors is an integer number (56558880).

Almost surely, 2^14830255440 is an apocalyptic number.

14830255440 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 14830255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197683200).

14830255440 is an abundant number, since it is smaller than the sum of its proper divisors (57565110960).

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

14830255440 is a wasteful number, since it uses less digits than its factorization.

14830255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14830255440 in words is "fourteen billion, eight hundred thirty million, two hundred fifty-five thousand, four hundred forty".