14409465949440 has 864 divisors, whose sum is σ = 52366754119680. Its totient is φ = 3653675827200.

The previous prime is 14409465949393. The next prime is 14409465949477. The reversal of 14409465949440 is 4494956490441.

14409465949440 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 94 + 6 + 59 + 494 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9102630889 + ... + 9102632471.

It is an arithmetic number, because the mean of its divisors is an integer number (60609669120).

Almost surely, 2^{14409465949440} is an apocalyptic number.

14409465949440 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 14409465949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183377059840).

14409465949440 is an abundant number, since it is smaller than the sum of its proper divisors (37957288170240).

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

14409465949440 is a wasteful number, since it uses less digits than its factorization.

14409465949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 14409465949440 in words is "fourteen trillion, four hundred nine billion, four hundred sixty-five million, nine hundred forty-nine thousand, four hundred forty".