20414114412400 has 60 divisors (see below), whose sum is σ = 50185489217512. Its totient is φ = 7975747019520.

The previous prime is 20414114412397. The next prime is 20414114412421. The reversal of 20414114412400 is 421441141402.

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 11 ways as a sum of consecutive naturals, for example, 593416359 + ... + 593450758.

Almost surely, 2^{20414114412400} is an apocalyptic number.

20414114412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414114412400 is an abundant number, since it is smaller than the sum of its proper divisors (29771374805112).

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

20414114412400 is a wasteful number, since it uses less digits than its factorization.

20414114412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186867178 (or 1186867167 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 20414114412400 its reverse (421441141402), we get a palindrome (20835555553802).

The spelling of 20414114412400 in words is "twenty trillion, four hundred fourteen billion, one hundred fourteen million, four hundred twelve thousand, four hundred".