200400200000 has 1134 divisors, whose sum is σ = 688198222026. Its totient is φ = 57657600000.

The previous prime is 200400199973. The next prime is 200400200009. The reversal of 200400200000 is 2004002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 176494092544 + 23906107456 = 420112^2 + 154616^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200400200009) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 15415399994 + ... + 15415400006.

It is an arithmetic number, because the mean of its divisors is an integer number (606876739).

Almost surely, 2^200400200000 is an apocalyptic number.

200400200000 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 200400200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344099111013).

200400200000 is an abundant number, since it is smaller than the sum of its proper divisors (487798022026).

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

200400200000 is an equidigital number, since it uses as much as digits as its factorization.

200400200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 200400200000 its reverse (2004002), we get a palindrome (200402204002).

200400200000 divided by its reverse (2004002) gives a 5-th power (100000 = 10⁵).

The spelling of 200400200000 in words is "two hundred billion, four hundred million, two hundred thousand".