20038144200 has 192 divisors, whose sum is σ = 62789433600. Its totient is φ = 5286124800.

The previous prime is 20038144169. The next prime is 20038144213. The reversal of 20038144200 is 244183002.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 32371491 + ... + 32372109.

It is an arithmetic number, because the mean of its divisors is an integer number (327028300).

Almost surely, 2^20038144200 is an apocalyptic number.

20038144200 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 20038144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31394716800).

20038144200 is an abundant number, since it is smaller than the sum of its proper divisors (42751289400).

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

20038144200 is a wasteful number, since it uses less digits than its factorization.

20038144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 20038144200 in words is "twenty billion, thirty-eight million, one hundred forty-four thousand, two hundred".