20414314433100 has 144 divisors (see below), whose sum is σ = 68880952448000. Its totient is φ = 4666128989760.

The previous prime is 20414314433099. The next prime is 20414314433171. The reversal of 20414314433100 is 133441341402.

It is a super-2 number, since 2×20414314433100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99092020 + ... + 99297819.

Almost surely, 2^{20414314433100} is an apocalyptic number.

20414314433100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414314433100 is an abundant number, since it is smaller than the sum of its proper divisors (48466638014900).

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

20414314433100 is a wasteful number, since it uses less digits than its factorization.

20414314433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198389877 (or 198389856 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 20414314433100 its reverse (133441341402), we get a palindrome (20547755774502).

The spelling of 20414314433100 in words is "twenty trillion, four hundred fourteen billion, three hundred fourteen million, four hundred thirty-three thousand, one hundred".