201020371670400 has 2304 divisors, whose sum is σ = 748835433964800. Its totient is φ = 47228977152000.

The previous prime is 201020371670347. The next prime is 201020371670401. The reversal of 201020371670400 is 4076173020102.

201020371670400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020371670401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 596499619032 + ... + 596499619368.

It is an arithmetic number, because the mean of its divisors is an integer number (325015379325).

Almost surely, 2^{201020371670400} is an apocalyptic number.

201020371670400 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 201020371670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374417716982400).

201020371670400 is an abundant number, since it is smaller than the sum of its proper divisors (547815062294400).

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

201020371670400 is a wasteful number, since it uses less digits than its factorization.

201020371670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 201020371670400 in words is "two hundred one trillion, twenty billion, three hundred seventy-one million, six hundred seventy thousand, four hundred".