201040250040 has 192 divisors, whose sum is σ = 747461856960. Its totient is φ = 45906462720.

The previous prime is 201040250039. The next prime is 201040250107. The reversal of 201040250040 is 40052040102.

201040250040 is a `hidden beast` number, since 20 + 104 + 0 + 2 + 500 + 40 = 666.

It is a super-2 number, since 2×201040250040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201040249995 and 201040250022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2533852 + ... + 2611988.

It is an arithmetic number, because the mean of its divisors is an integer number (3893030505).

Almost surely, 2^201040250040 is an apocalyptic number.

201040250040 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 201040250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373730928480).

201040250040 is an abundant number, since it is smaller than the sum of its proper divisors (546421606920).

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

201040250040 is a wasteful number, since it uses less digits than its factorization.

201040250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79182 (or 79175 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 201040250040 its reverse (40052040102), we get a palindrome (241092290142).

The spelling of 201040250040 in words is "two hundred one billion, forty million, two hundred fifty thousand, forty".