201397891200 has 384 divisors, whose sum is σ = 728993787840. Its totient is φ = 48463872000.

The previous prime is 201397891187. The next prime is 201397891267. The reversal of 201397891200 is 2198793102.

201397891200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×201397891200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14460240 + ... + 14474160.

Almost surely, 2^201397891200 is an apocalyptic number.

201397891200 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 201397891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364496893920).

201397891200 is an abundant number, since it is smaller than the sum of its proper divisors (527595896640).

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

201397891200 is a wasteful number, since it uses less digits than its factorization.

201397891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096 (or 14079 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 201397891200 in words is "two hundred one billion, three hundred ninety-seven million, eight hundred ninety-one thousand, two hundred".