201032444400 has 120 divisors (see below), whose sum is σ = 647026754304. Its totient is φ = 53354515200.

The previous prime is 201032444387. The next prime is 201032444407. The reversal of 201032444400 is 4444230102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201032444407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143784 + ... + 650183.

Almost surely, 2^201032444400 is an apocalyptic number.

201032444400 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 201032444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323513377152).

201032444400 is an abundant number, since it is smaller than the sum of its proper divisors (445994309904).

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

201032444400 is a wasteful number, since it uses less digits than its factorization.

201032444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794199 (or 794188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 201032444400 its reverse (4444230102), we get a palindrome (205476674502).

The spelling of 201032444400 in words is "two hundred one billion, thirty-two million, four hundred forty-four thousand, four hundred".