201042957931200 has 3024 divisors, whose sum is σ = 934698284552448. Its totient is φ = 40497408000000.

The previous prime is 201042957931111. The next prime is 201042957931217. The reversal of 201042957931200 is 2139759240102.

201042957931200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 29 + 579 + 31 + 20 + 0 = 666.

201042957931200 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 Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 89312730075 + ... + 89312732325.

Almost surely, 2^{201042957931200} is an apocalyptic number.

201042957931200 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 201042957931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467349142276224).

201042957931200 is an abundant number, since it is smaller than the sum of its proper divisors (733655326621248).

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

201042957931200 is a wasteful number, since it uses less digits than its factorization.

201042957931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 201042957931200 in words is "two hundred one trillion, forty-two billion, nine hundred fifty-seven million, nine hundred thirty-one thousand, two hundred".