201044030400 has 336 divisors, whose sum is σ = 764748076800. Its totient is φ = 51280542720.

The previous prime is 201044030399. The next prime is 201044030491. The reversal of 201044030400 is 4030440102.

201044030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201044030400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892431 + ... + 1094769.

Almost surely, 2^201044030400 is an apocalyptic number.

201044030400 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 201044030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382374038400).

201044030400 is an abundant number, since it is smaller than the sum of its proper divisors (563704046400).

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

201044030400 is a wasteful number, since it uses less digits than its factorization.

201044030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202393 (or 202372 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201044030400 its reverse (4030440102), we get a palindrome (205074470502).

It can be divided in two parts, 20104 and 4030400, that added together give a palindrome (4050504).

The spelling of 201044030400 in words is "two hundred one billion, forty-four million, thirty thousand, four hundred".