20416142200 has 96 divisors (see below), whose sum is σ = 50023584000. Its totient is φ = 7727702400.

The previous prime is 20416142189. The next prime is 20416142207. The reversal of 20416142200 is 224161402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20416142207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3945615 + ... + 3950785.

It is an arithmetic number, because the mean of its divisors is an integer number (521079000).

Almost surely, 2^20416142200 is an apocalyptic number.

20416142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20416142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25011792000).

20416142200 is an abundant number, since it is smaller than the sum of its proper divisors (29607441800).

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

20416142200 is a wasteful number, since it uses less digits than its factorization.

20416142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 20416142200 in words is "twenty billion, four hundred sixteen million, one hundred forty-two thousand, two hundred".