201041337444000 has 192 divisors, whose sum is σ = 659065380285312. Its totient is φ = 53574071040000.

The previous prime is 201041337443941. The next prime is 201041337444007. The reversal of 201041337444000 is 444733140102.

It is a super-2 number, since 2×201041337444000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201041337444007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11638932 + ... + 23185068.

It is an arithmetic number, because the mean of its divisors is an integer number (3432632188986).

Almost surely, 2^{201041337444000} is an apocalyptic number.

201041337444000 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 201041337444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329532690142656).

201041337444000 is an abundant number, since it is smaller than the sum of its proper divisors (458024042841312).

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

201041337444000 is a wasteful number, since it uses less digits than its factorization.

201041337444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11547616 (or 11547598 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 201041337444000 in words is "two hundred one trillion, forty-one billion, three hundred thirty-seven million, four hundred forty-four thousand".