201228396989400 has 2880 divisors, whose sum is σ = 829662804432000. Its totient is φ = 44695776153600.

The previous prime is 201228396989383. The next prime is 201228396989407. The reversal of 201228396989400 is 4989693822102.

201228396989400 is a `hidden beast` number, since 2 + 0 + 12 + 2 + 83 + 9 + 69 + 89 + 400 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201228396989407) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1880639224147 + ... + 1880639224253.

It is an arithmetic number, because the mean of its divisors is an integer number (288077362650).

Almost surely, 2^{201228396989400} is an apocalyptic number.

201228396989400 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 201228396989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414831402216000).

201228396989400 is an abundant number, since it is smaller than the sum of its proper divisors (628434407442600).

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

201228396989400 is a wasteful number, since it uses less digits than its factorization.

201228396989400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 201228396989400 in words is "two hundred one trillion, two hundred twenty-eight billion, three hundred ninety-six million, nine hundred eighty-nine thousand, four hundred".