201040091640 has 224 divisors, whose sum is σ = 682766496000. Its totient is φ = 53249736960.

The previous prime is 201040091639. The next prime is 201040091641. The reversal of 201040091640 is 46190040102.

201040091640 is a `hidden beast` number, since 2 + 0 + 10 + 4 + 0 + 0 + 9 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (201040091639) and next prime (201040091641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201040091641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4321705 + ... + 4367975.

Almost surely, 2^201040091640 is an apocalyptic number.

201040091640 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 201040091640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341383248000).

201040091640 is an abundant number, since it is smaller than the sum of its proper divisors (481726404360).

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

201040091640 is a wasteful number, since it uses less digits than its factorization.

201040091640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46449 (or 46430 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 201040091640 in words is "two hundred one billion, forty million, ninety-one thousand, six hundred forty".