201442241000 has 512 divisors, whose sum is σ = 645006136320. Its totient is φ = 56848896000.

The previous prime is 201442240991. The next prime is 201442241023. The reversal of 201442241000 is 142244102.

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 127 ways as a sum of consecutive naturals, for example, 53051102 + ... + 53054898.

It is an arithmetic number, because the mean of its divisors is an integer number (1259777610).

Almost surely, 2^201442241000 is an apocalyptic number.

201442241000 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 201442241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322503068160).

201442241000 is an abundant number, since it is smaller than the sum of its proper divisors (443563895320).

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

201442241000 is a wasteful number, since it uses less digits than its factorization.

201442241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201442241000 its reverse (142244102), we get a palindrome (201584485102).

The spelling of 201442241000 in words is "two hundred one billion, four hundred forty-two million, two hundred forty-one thousand".