201650040 has 256 divisors, whose sum is σ = 732672000. Its totient is φ = 49144320.

The previous prime is 201649999. The next prime is 201650047. The reversal of 201650040 is 40056102.

It is a happy number.

201650040 is nontrivially palindromic in base 7.

201650040 is digitally balanced in base 2 and base 3, because in such bases 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 a junction number, because it is equal to n+sod(n) for n = 201649995 and 201650022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201650047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635962 + ... + 636278.

It is an arithmetic number, because the mean of its divisors is an integer number (2862000).

Almost surely, 2^201650040 is an apocalyptic number.

201650040 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 201650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366336000).

201650040 is an abundant number, since it is smaller than the sum of its proper divisors (531021960).

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

201650040 is a wasteful number, since it uses less digits than its factorization.

201650040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201650040 is about 14200.3535167263. The cubic root of 201650040 is about 586.4073937550.

The spelling of 201650040 in words is "two hundred one million, six hundred fifty thousand, forty".