201134441000 has 64 divisors (see below), whose sum is σ = 470781052560. Its totient is φ = 80432160000.

The previous prime is 201134440999. The next prime is 201134441029. The reversal of 201134441000 is 144431102.

It can be written as a sum of positive squares in 8 ways, for example, as 12687844 + 201121753156 = 3562^2 + 448466^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3995990 + ... + 4046010.

Almost surely, 2^201134441000 is an apocalyptic number.

201134441000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201134441000 is an abundant number, since it is smaller than the sum of its proper divisors (269646611560).

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

201134441000 is a wasteful number, since it uses less digits than its factorization.

201134441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54063 (or 54049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201134441000 its reverse (144431102), we get a palindrome (201278872102).

The spelling of 201134441000 in words is "two hundred one billion, one hundred thirty-four million, four hundred forty-one thousand".