201164040 has 512 divisors, whose sum is σ = 870912000. Its totient is φ = 40089600.

The previous prime is 201164017. The next prime is 201164071. The reversal of 201164040 is 40461102.

201164040 is a `hidden beast` number, since 20 + 1 + 1 + 640 + 4 + 0 = 666.

201164040 is digitally balanced in base 2, because in such base 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3409531 + ... + 3409589.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^201164040 is an apocalyptic number.

201164040 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 201164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

201164040 is an abundant number, since it is smaller than the sum of its proper divisors (669747960).

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

201164040 is a wasteful number, since it uses less digits than its factorization.

201164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201164040 is about 14183.2309436179. The cubic root of 201164040 is about 585.9359114837.

The spelling of 201164040 in words is "two hundred one million, one hundred sixty-four thousand, forty".