201025440 has 576 divisors, whose sum is σ = 896313600. Its totient is φ = 40642560.

The previous prime is 201025417. The next prime is 201025463. The reversal of 201025440 is 44520102.

201025440 is a `hidden beast` number, since 20 + 102 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201025417) and next prime (201025463).

It is a super-2 number, since 2×201025440² = 80822455054387200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433102 + ... + 5433138.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^201025440 is an apocalyptic number.

201025440 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 201025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

201025440 is an abundant number, since it is smaller than the sum of its proper divisors (695288160).

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

201025440 is a wasteful number, since it uses less digits than its factorization.

201025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

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

The square root of 201025440 is about 14178.3440499940. The cubic root of 201025440 is about 585.8013125836.

Adding to 201025440 its reverse (44520102), we get a palindrome (245545542).

The spelling of 201025440 in words is "two hundred one million, twenty-five thousand, four hundred forty".