201009291920 has 40 divisors (see below), whose sum is σ = 470213791296. Its totient is φ = 79910437248.

The previous prime is 201009291907. The next prime is 201009291947. The reversal of 201009291920 is 29192900102.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 7694372 + ... + 7720451.

Almost surely, 2^201009291920 is an apocalyptic number.

201009291920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201009291920 is an abundant number, since it is smaller than the sum of its proper divisors (269204499376).

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

201009291920 is a wasteful number, since it uses less digits than its factorization.

201009291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15414999 (or 15414993 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

It can be divided in two parts, 2010092 and 91920, that added together give a palindrome (2102012).

The spelling of 201009291920 in words is "two hundred one billion, nine million, two hundred ninety-one thousand, nine hundred twenty".