203324213400400 has 120 divisors (see below), whose sum is σ = 494186969886840. Its totient is φ = 80381366968320.

The previous prime is 203324213400361. The next prime is 203324213400431. The reversal of 203324213400400 is 4004312423302.

It can be written as a sum of positive squares in 12 ways, for example, as 82735615111744 + 120588598288656 = 9095912^2 + 10981284^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81830764 + ... + 84278836.

It is an arithmetic number, because the mean of its divisors is an integer number (4118224749057).

Almost surely, 2^{203324213400400} is an apocalyptic number.

203324213400400 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 203324213400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247093484943420).

203324213400400 is an abundant number, since it is smaller than the sum of its proper divisors (290862756486440).

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

203324213400400 is a wasteful number, since it uses less digits than its factorization.

203324213400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450513 (or 2450502 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 203324213400400 its reverse (4004312423302), we get a palindrome (207328525823702).

The spelling of 203324213400400 in words is "two hundred three trillion, three hundred twenty-four billion, two hundred thirteen million, four hundred thousand, four hundred".