14352080870400 has 1584 divisors, whose sum is σ = 62922415895136. Its totient is φ = 2849840824320.

The previous prime is 14352080870377. The next prime is 14352080870437. The reversal of 14352080870400 is 407808025341.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 831658572 + ... + 831675828.

Almost surely, 2^{14352080870400} is an apocalyptic number.

14352080870400 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 14352080870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31461207947568).

14352080870400 is an abundant number, since it is smaller than the sum of its proper divisors (48570335024736).

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

14352080870400 is a wasteful number, since it uses less digits than its factorization.

14352080870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17334 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

Adding to 14352080870400 its reverse (407808025341), we get a palindrome (14759888895741).

The spelling of 14352080870400 in words is "fourteen trillion, three hundred fifty-two billion, eighty million, eight hundred seventy thousand, four hundred".