14820163265440 has 288 divisors, whose sum is σ = 39430862311680. Its totient is φ = 5256744210432.

The previous prime is 14820163265437. The next prime is 14820163265491. The reversal of 14820163265440 is 4456236102841.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78944167 + ... + 79131673.

It is an arithmetic number, because the mean of its divisors is an integer number (136912716360).

Almost surely, 2^{14820163265440} is an apocalyptic number.

14820163265440 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 14820163265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715431155840).

14820163265440 is an abundant number, since it is smaller than the sum of its proper divisors (24610699046240).

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

14820163265440 is a wasteful number, since it uses less digits than its factorization.

14820163265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187664 (or 187643 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 14820163265440 in words is "fourteen trillion, eight hundred twenty billion, one hundred sixty-three million, two hundred sixty-five thousand, four hundred forty".