201140400 has 120 divisors (see below), whose sum is σ = 665227264. Its totient is φ = 51897600.

The previous prime is 201140371. The next prime is 201140411. The reversal of 201140400 is 4041102.

201140400 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 (120).

It is a super-4 number, since 4×201140400⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 34497 + ... + 39903.

Almost surely, 2^201140400 is an apocalyptic number.

201140400 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 201140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332613632).

201140400 is an abundant number, since it is smaller than the sum of its proper divisors (464086864).

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

201140400 is a wasteful number, since it uses less digits than its factorization.

201140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 201140400 is about 14182.3975406135. The cubic root of 201140400 is about 585.9129582965.

Adding to 201140400 its reverse (4041102), we get a palindrome (205181502).

The spelling of 201140400 in words is "two hundred one million, one hundred forty thousand, four hundred".