14461390464480 has 384 divisors, whose sum is σ = 53662150080000. Its totient is φ = 3627117563904.

The previous prime is 14461390464467. The next prime is 14461390464497. The reversal of 14461390464480 is 8446409316441.

14461390464480 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 13 + 90 + 4 + 64 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10775356 + ... + 12042884.

It is an arithmetic number, because the mean of its divisors is an integer number (139745182500).

Almost surely, 2^{14461390464480} is an apocalyptic number.

14461390464480 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 14461390464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26831075040000).

14461390464480 is an abundant number, since it is smaller than the sum of its proper divisors (39200759615520).

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

14461390464480 is a wasteful number, since it uses less digits than its factorization.

14461390464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267711 (or 1267697 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 14461390464480 in words is "fourteen trillion, four hundred sixty-one billion, three hundred ninety million, four hundred sixty-four thousand, four hundred eighty".