201345234145040 has 80 divisors (see below), whose sum is σ = 475746338428416. Its totient is φ = 79232254886400.

The previous prime is 201345234145019. The next prime is 201345234145043. The reversal of 201345234145040 is 40541432543102.

201345234145040 is digitally balanced in base 2, 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 201345234144985 and 201345234145003.

It is not an unprimeable number, because it can be changed into a prime (201345234145043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35651051 + ... + 40910730.

Almost surely, 2^{201345234145040} is an apocalyptic number.

201345234145040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201345234145040 is an abundant number, since it is smaller than the sum of its proper divisors (274401104283376).

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

201345234145040 is a wasteful number, since it uses less digits than its factorization.

201345234145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76562328 (or 76562322 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 201345234145040 its reverse (40541432543102), we get a palindrome (241886666688142).

The spelling of 201345234145040 in words is "two hundred one trillion, three hundred forty-five billion, two hundred thirty-four million, one hundred forty-five thousand, forty".