201412541140 has 96 divisors (see below), whose sum is σ = 450751392000. Its totient is φ = 75379848192.

The previous prime is 201412541089. The next prime is 201412541147. The reversal of 201412541140 is 41145214102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201412541147) 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 31 ways as a sum of consecutive naturals, for example, 34256721 + ... + 34262599.

It is an arithmetic number, because the mean of its divisors is an integer number (4695327000).

Almost surely, 2^201412541140 is an apocalyptic number.

201412541140 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 201412541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375696000).

201412541140 is an abundant number, since it is smaller than the sum of its proper divisors (249338850860).

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

201412541140 is a wasteful number, since it uses less digits than its factorization.

201412541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 201412541140 its reverse (41145214102), we get a palindrome (242557755242).

The spelling of 201412541140 in words is "two hundred one billion, four hundred twelve million, five hundred forty-one thousand, one hundred forty".