14638950871440 has 640 divisors, whose sum is σ = 54695105003520. Its totient is φ = 3168343449600.

The previous prime is 14638950871409. The next prime is 14638950871529. The reversal of 14638950871440 is 4417805983641.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 660680842 + ... + 660702998.

It is an arithmetic number, because the mean of its divisors is an integer number (85461101568).

Almost surely, 2^{14638950871440} is an apocalyptic number.

14638950871440 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 14638950871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27347552501760).

14638950871440 is an abundant number, since it is smaller than the sum of its proper divisors (40056154132080).

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

14638950871440 is a wasteful number, since it uses less digits than its factorization.

14638950871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471 (or 22465 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 14638950871440 in words is "fourteen trillion, six hundred thirty-eight billion, nine hundred fifty million, eight hundred seventy-one thousand, four hundred forty".