14439248490240 has 864 divisors, whose sum is σ = 59923953363456. Its totient is φ = 3260594995200.

The previous prime is 14439248490133. The next prime is 14439248490241. The reversal of 14439248490240 is 4209484293441.

14439248490240 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 92 + 48 + 490 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14439248490241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180674290 + ... + 180754190.

It is an arithmetic number, because the mean of its divisors is an integer number (69356427504).

Almost surely, 2^{14439248490240} is an apocalyptic number.

14439248490240 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 14439248490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29961976681728).

14439248490240 is an abundant number, since it is smaller than the sum of its proper divisors (45484704873216).

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

14439248490240 is an frugal number, since it uses more digits than its factorization.

14439248490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80027 (or 80001 counting only the distinct ones).

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

The spelling of 14439248490240 in words is "fourteen trillion, four hundred thirty-nine billion, two hundred forty-eight million, four hundred ninety thousand, two hundred forty".