201375828240 has 40 divisors (see below), whose sum is σ = 624265068288. Its totient is φ = 53700220800.

The previous prime is 201375828223. The next prime is 201375828323. The reversal of 201375828240 is 42828573102.

201375828240 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 201375828192 and 201375828201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419532736 + ... + 419533215.

Almost surely, 2^201375828240 is an apocalyptic number.

201375828240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201375828240 is an abundant number, since it is smaller than the sum of its proper divisors (422889240048).

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

201375828240 is a wasteful number, since it uses less digits than its factorization.

201375828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839065967 (or 839065961 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 201375828240 in words is "two hundred one billion, three hundred seventy-five million, eight hundred twenty-eight thousand, two hundred forty".