14714364887040 has 1728 divisors, whose sum is σ = 61050042869760. Its totient is φ = 2996494663680.

The previous prime is 14714364887021. The next prime is 14714364887113. The reversal of 14714364887040 is 4078846341741.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38824181571 + ... + 38824181949.

It is an arithmetic number, because the mean of its divisors is an integer number (35329885920).

Almost surely, 2^{14714364887040} is an apocalyptic number.

14714364887040 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 14714364887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30525021434880).

14714364887040 is an abundant number, since it is smaller than the sum of its proper divisors (46335677982720).

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

14714364887040 is an equidigital number, since it uses as much as digits as its factorization.

14714364887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 14714364887040 in words is "fourteen trillion, seven hundred fourteen billion, three hundred sixty-four million, eight hundred eighty-seven thousand, forty".