20140414020400 has 60 divisors (see below), whose sum is σ = 50491142302032. Its totient is φ = 7705897534720.

The previous prime is 20140414020367. The next prime is 20140414020401. The reversal of 20140414020400 is 402041404102.

It is not an unprimeable number, because it can be changed into a prime (20140414020401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1094578519 + ... + 1094596918.

Almost surely, 2^{20140414020400} is an apocalyptic number.

20140414020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20140414020400 is an abundant number, since it is smaller than the sum of its proper divisors (30350728281632).

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

20140414020400 is a wasteful number, since it uses less digits than its factorization.

20140414020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189175478 (or 2189175467 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 20140414020400 its reverse (402041404102), we get a palindrome (20542455424502).

The spelling of 20140414020400 in words is "twenty trillion, one hundred forty billion, four hundred fourteen million, twenty thousand, four hundred".