201143710720040 has 128 divisors (see below), whose sum is σ = 501652827486720. Its totient is φ = 71969870649600.

The previous prime is 201143710720037. The next prime is 201143710720087. The reversal of 201143710720040 is 40027017341102.

It is a junction number, because it is equal to n+sod(n) for n = 201143710719979 and 201143710720006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22167275 + ... + 29894405.

It is an arithmetic number, because the mean of its divisors is an integer number (3919162714740).

Almost surely, 2^{201143710720040} is an apocalyptic number.

201143710720040 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 201143710720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250826413743360).

201143710720040 is an abundant number, since it is smaller than the sum of its proper divisors (300509116766680).

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

201143710720040 is a wasteful number, since it uses less digits than its factorization.

201143710720040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728103 (or 7728099 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 201143710720040 in words is "two hundred one trillion, one hundred forty-three billion, seven hundred ten million, seven hundred twenty thousand, forty".