201000004034020 has 96 divisors (see below), whose sum is σ = 459055803880800. Its totient is φ = 73617866219520.

The previous prime is 201000004033967. The next prime is 201000004034047. The reversal of 201000004034020 is 20430400000102.

It can be written as a sum of positive squares in 16 ways, for example, as 44861784035236 + 156138219998784 = 6697894^2 + 12495528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201000004033985 and 201000004034003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122228206 + ... + 123861754.

It is an arithmetic number, because the mean of its divisors is an integer number (4781831290425).

Almost surely, 2^{201000004034020} is an apocalyptic number.

201000004034020 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 201000004034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229527901940400).

201000004034020 is an abundant number, since it is smaller than the sum of its proper divisors (258055799846780).

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

201000004034020 is a wasteful number, since it uses less digits than its factorization.

201000004034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643393 (or 1643391 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201000004034020 its reverse (20430400000102), we get a palindrome (221430404034122).

The spelling of 201000004034020 in words is "two hundred one trillion, four million, thirty-four thousand, twenty".