201140314400 has 72 divisors (see below), whose sum is σ = 519918168420. Its totient is φ = 75723407360.

The previous prime is 201140314387. The next prime is 201140314411. The reversal of 201140314400 is 4413041102.

It can be written as a sum of positive squares in 6 ways, for example, as 80517467536 + 120622846864 = 283756^2 + 347308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7381265 + ... + 7408464.

Almost surely, 2^201140314400 is an apocalyptic number.

201140314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201140314400 is an abundant number, since it is smaller than the sum of its proper divisors (318777854020).

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

201140314400 is a wasteful number, since it uses less digits than its factorization.

201140314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789766 (or 14789753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201140314400 its reverse (4413041102), we get a palindrome (205553355502).

The spelling of 201140314400 in words is "two hundred one billion, one hundred forty million, three hundred fourteen thousand, four hundred".