201040124400 has 180 divisors, whose sum is σ = 698253558912. Its totient is φ = 53565480960.

The previous prime is 201040124321. The next prime is 201040124413. The reversal of 201040124400 is 4421040102.

201040124400 is a `hidden beast` number, since 20 + 1 + 0 + 401 + 244 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4358257 + ... + 4404143.

Almost surely, 2^201040124400 is an apocalyptic number.

201040124400 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 201040124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349126779456).

201040124400 is an abundant number, since it is smaller than the sum of its proper divisors (497213434512).

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

201040124400 is a wasteful number, since it uses less digits than its factorization.

201040124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47128 (or 47114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201040124400 its reverse (4421040102), we get a palindrome (205461164502).

The spelling of 201040124400 in words is "two hundred one billion, forty million, one hundred twenty-four thousand, four hundred".