201199338882432 has 1024 divisors, whose sum is σ = 685912021401600. Its totient is φ = 57487656960000.

The previous prime is 201199338882427. The next prime is 201199338882457. The reversal of 201199338882432 is 234288833991102.

201199338882432 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 9 + 9 + 3 + 388 + 8 + 243 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 201199338882432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43824728457 + ... + 43824733047.

It is an arithmetic number, because the mean of its divisors is an integer number (669835958400).

Almost surely, 2^{201199338882432} is an apocalyptic number.

201199338882432 is a gapful number since it is divisible by the number (22) 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 201199338882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342956010700800).

201199338882432 is an abundant number, since it is smaller than the sum of its proper divisors (484712682519168).

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

201199338882432 is a wasteful number, since it uses less digits than its factorization.

201199338882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 201199338882432 in words is "two hundred one trillion, one hundred ninety-nine billion, three hundred thirty-eight million, eight hundred eighty-two thousand, four hundred thirty-two".