201003424000 has 144 divisors (see below), whose sum is σ = 506764177920. Its totient is φ = 79431628800.

The previous prime is 201003423983. The next prime is 201003424021. The reversal of 201003424000 is 424300102.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2618161 + ... + 2693839.

It is an arithmetic number, because the mean of its divisors is an integer number (3519195680).

Almost surely, 2^201003424000 is an apocalyptic number.

201003424000 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 201003424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253382088960).

201003424000 is an abundant number, since it is smaller than the sum of its proper divisors (305760753920).

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

201003424000 is an frugal number, since it uses more digits than its factorization.

201003424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75793 (or 75769 counting only the distinct ones).

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

Adding to 201003424000 its reverse (424300102), we get a palindrome (201427724102).

The spelling of 201003424000 in words is "two hundred one billion, three million, four hundred twenty-four thousand".