201543621400 has 192 divisors, whose sum is σ = 518308968960. Its totient is φ = 72273600000.

The previous prime is 201543621343. The next prime is 201543621457. The reversal of 201543621400 is 4126345102.

It is an interprime number because it is at equal distance from previous prime (201543621343) and next prime (201543621457).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60214527 + ... + 60217873.

It is an arithmetic number, because the mean of its divisors is an integer number (2699525880).

Almost surely, 2^201543621400 is an apocalyptic number.

201543621400 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 201543621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259154484480).

201543621400 is an abundant number, since it is smaller than the sum of its proper divisors (316765347560).

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

201543621400 is a wasteful number, since it uses less digits than its factorization.

201543621400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 201543621400 its reverse (4126345102), we get a palindrome (205669966502).

The spelling of 201543621400 in words is "two hundred one billion, five hundred forty-three million, six hundred twenty-one thousand, four hundred".