201432202000 has 160 divisors (see below), whose sum is σ = 509941111680. Its totient is φ = 76855385600.

The previous prime is 201432201973. The next prime is 201432202019. The reversal of 201432202000 is 202234102.

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 31 ways as a sum of consecutive naturals, for example, 4793079 + ... + 4834921.

It is an arithmetic number, because the mean of its divisors is an integer number (3187131948).

Almost surely, 2^201432202000 is an apocalyptic number.

201432202000 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 201432202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254970555840).

201432202000 is an abundant number, since it is smaller than the sum of its proper divisors (308508909680).

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

201432202000 is a wasteful number, since it uses less digits than its factorization.

201432202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41978 (or 41962 counting only the distinct ones).

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

Adding to 201432202000 its reverse (202234102), we get a palindrome (201634436102).

The spelling of 201432202000 in words is "two hundred one billion, four hundred thirty-two million, two hundred two thousand".