20400004200 has 96 divisors (see below), whose sum is σ = 63628293600. Its totient is φ = 5406600960.

The previous prime is 20400004193. The next prime is 20400004201. The reversal of 20400004200 is 240000402.

It is a super-4 number, since 4×20400004200⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20400004201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6495 + ... + 202094.

It is an arithmetic number, because the mean of its divisors is an integer number (662794725).

Almost surely, 2^20400004200 is an apocalyptic number.

20400004200 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 20400004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31814146800).

20400004200 is an abundant number, since it is smaller than the sum of its proper divisors (43228289400).

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

20400004200 is a wasteful number, since it uses less digits than its factorization.

20400004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208771 (or 208762 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20400004200 its reverse (240000402), we get a palindrome (20640004602).

The spelling of 20400004200 in words is "twenty billion, four hundred million, four thousand, two hundred".