200200191413292 has 384 divisors, whose sum is σ = 632704805376000. Its totient is φ = 54618138279936.

The previous prime is 200200191413221. The next prime is 200200191413357. The reversal of 200200191413292 is 292314191002002.

200200191413292 is a `hidden beast` number, since 2 + 0 + 0 + 200 + 1 + 91 + 41 + 329 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 491407308 + ... + 491814540.

It is an arithmetic number, because the mean of its divisors is an integer number (1647668764000).

Almost surely, 2^{200200191413292} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200191413292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316352402688000).

200200191413292 is an abundant number, since it is smaller than the sum of its proper divisors (432504613962708).

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

200200191413292 is a wasteful number, since it uses less digits than its factorization.

200200191413292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407867 (or 407845 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 200200191413292 in words is "two hundred trillion, two hundred billion, one hundred ninety-one million, four hundred thirteen thousand, two hundred ninety-two".