201019345408 has 80 divisors (see below), whose sum is σ = 459393454080. Its totient is φ = 86081826816.

The previous prime is 201019345369. The next prime is 201019345411. The reversal of 201019345408 is 804543910102.

201019345408 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 7 ways as a sum of consecutive naturals, for example, 4562010 + ... + 4605862.

It is an arithmetic number, because the mean of its divisors is an integer number (5742418176).

Almost surely, 2^201019345408 is an apocalyptic number.

201019345408 is a gapful number since it is divisible by the number (28) 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 201019345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229696727040).

201019345408 is an abundant number, since it is smaller than the sum of its proper divisors (258374108672).

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

201019345408 is an equidigital number, since it uses as much as digits as its factorization.

201019345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45157 (or 45141 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 201019345408 in words is "two hundred one billion, nineteen million, three hundred forty-five thousand, four hundred eight".