20514414400000 has 240 divisors, whose sum is σ = 52999436647080. Its totient is φ = 7922790400000.

The previous prime is 20514414399929. The next prime is 20514414400091. The reversal of 20514414400000 is 441441502.

It can be written as a sum of positive squares in 12 ways, for example, as 3040810539264 + 17473603860736 = 1743792^2 + 4180144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46178940 + ... + 46621060.

Almost surely, 2^{20514414400000} is an apocalyptic number.

20514414400000 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 20514414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26499718323540).

20514414400000 is an abundant number, since it is smaller than the sum of its proper divisors (32485022247080).

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

20514414400000 is an frugal number, since it uses more digits than its factorization.

20514414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442193 (or 442157 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 20514414400000 its reverse (441441502), we get a palindrome (20514855841502).

The spelling of 20514414400000 in words is "twenty trillion, five hundred fourteen billion, four hundred fourteen million, four hundred thousand".