20416335313400 has 96 divisors (see below), whose sum is σ = 51120985964160. Its totient is φ = 7538099811840.

The previous prime is 20416335313349. The next prime is 20416335313483. The reversal of 20416335313400 is 431353361402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96023609 + ... + 96235991.

It is an arithmetic number, because the mean of its divisors is an integer number (532510270460).

Almost surely, 2^{20416335313400} is an apocalyptic number.

20416335313400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20416335313400 is an abundant number, since it is smaller than the sum of its proper divisors (30704650650760).

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

20416335313400 is a wasteful number, since it uses less digits than its factorization.

20416335313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249385 (or 249376 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 20416335313400 its reverse (431353361402), we get a palindrome (20847688674802).

The spelling of 20416335313400 in words is "twenty trillion, four hundred sixteen billion, three hundred thirty-five million, three hundred thirteen thousand, four hundred".