14819825940480 has 1920 divisors, whose sum is σ = 59965042737600. Its totient is φ = 3469580697600.

The previous prime is 14819825940421. The next prime is 14819825940497. The reversal of 14819825940480 is 8404952891841.

14819825940480 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 98 + 25 + 9 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×14819825940480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64715397006 + ... + 64715397234.

Almost surely, 2^{14819825940480} is an apocalyptic number.

14819825940480 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 14819825940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29982521368800).

14819825940480 is an abundant number, since it is smaller than the sum of its proper divisors (45145216797120).

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

14819825940480 is a wasteful number, since it uses less digits than its factorization.

14819825940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 14819825940480 in words is "fourteen trillion, eight hundred nineteen billion, eight hundred twenty-five million, nine hundred forty thousand, four hundred eighty".