201066052040 has 128 divisors (see below), whose sum is σ = 527887584000. Its totient is φ = 67502481408.

The previous prime is 201066052039. The next prime is 201066052069. The reversal of 201066052040 is 40250660102.

201066052040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2805776 + ... + 2876544.

It is an arithmetic number, because the mean of its divisors is an integer number (4124121750).

Almost surely, 2^201066052040 is an apocalyptic number.

201066052040 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 201066052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263943792000).

201066052040 is an abundant number, since it is smaller than the sum of its proper divisors (326821531960).

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

201066052040 is a wasteful number, since it uses less digits than its factorization.

201066052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70999 (or 70995 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 201066052040 in words is "two hundred one billion, sixty-six million, fifty-two thousand, forty".