20414320314120 has 128 divisors (see below), whose sum is σ = 68054074560000. Its totient is φ = 5443311536640.

The previous prime is 20414320314107. The next prime is 20414320314137. The reversal of 20414320314120 is 2141302341402.

20414320314120 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 320 + 314 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 10787740 + ... + 12538100.

It is an arithmetic number, because the mean of its divisors is an integer number (531672457500).

Almost surely, 2^{20414320314120} is an apocalyptic number.

20414320314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414320314120 is an abundant number, since it is smaller than the sum of its proper divisors (47639754245880).

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

20414320314120 is a wasteful number, since it uses less digits than its factorization.

20414320314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761180 (or 1761170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20414320314120 its reverse (2141302341402), we get a palindrome (22555622655522).

The spelling of 20414320314120 in words is "twenty trillion, four hundred fourteen billion, three hundred twenty million, three hundred fourteen thousand, one hundred twenty".