201000440220320 has 72 divisors (see below), whose sum is σ = 514201348138716. Its totient is φ = 74215547148288.

The previous prime is 201000440220313. The next prime is 201000440220407. The reversal of 201000440220320 is 23022044000102.

It can be written as a sum of positive squares in 6 ways, for example, as 60555850951696 + 140444589268624 = 7781764^2 + 11850932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201000440220292 and 201000440220301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3716697077 + ... + 3716751156.

Almost surely, 2^{201000440220320} is an apocalyptic number.

201000440220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000440220320 is an abundant number, since it is smaller than the sum of its proper divisors (313200907918396).

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

201000440220320 is a wasteful number, since it uses less digits than its factorization.

201000440220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433448274 (or 7433448253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 201000440220320 its reverse (23022044000102), we get a palindrome (224022484220422).

The spelling of 201000440220320 in words is "two hundred one trillion, four hundred forty million, two hundred twenty thousand, three hundred twenty".