201142244400 has 240 divisors, whose sum is σ = 665258754048. Its totient is φ = 51916032000.

The previous prime is 201142244363. The next prime is 201142244483. The reversal of 201142244400 is 4442241102.

201142244400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6232305 + ... + 6264495.

Almost surely, 2^201142244400 is an apocalyptic number.

201142244400 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 201142244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332629377024).

201142244400 is an abundant number, since it is smaller than the sum of its proper divisors (464116509648).

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

201142244400 is a wasteful number, since it uses less digits than its factorization.

201142244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32380 (or 32369 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 201142244400 its reverse (4442241102), we get a palindrome (205584485502).

The spelling of 201142244400 in words is "two hundred one billion, one hundred forty-two million, two hundred forty-four thousand, four hundred".