20140414320000 has 320 divisors, whose sum is σ = 71993471402160. Its totient is φ = 4957639680000.

The previous prime is 20140414319981. The next prime is 20140414320007. The reversal of 20140414320000 is 2341404102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×20140414320000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20140414320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107631 + ... + 6347630.

Almost surely, 2^{20140414320000} is an apocalyptic number.

20140414320000 is a gapful number since it is divisible by the number (20) 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 20140414320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35996735701080).

20140414320000 is an abundant number, since it is smaller than the sum of its proper divisors (51853057082160).

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

20140414320000 is an equidigital number, since it uses as much as digits as its factorization.

20140414320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455311 (or 6455284 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20140414320000 its reverse (2341404102), we get a palindrome (20142755724102).

The spelling of 20140414320000 in words is "twenty trillion, one hundred forty billion, four hundred fourteen million, three hundred twenty thousand".