201151440 has 240 divisors, whose sum is σ = 781342848. Its totient is φ = 45425664.

The previous prime is 201151421. The next prime is 201151451. The reversal of 201151440 is 44151102.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 539094 + ... + 539466.

Almost surely, 2^201151440 is an apocalyptic number.

201151440 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 201151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390671424).

201151440 is an abundant number, since it is smaller than the sum of its proper divisors (580191408).

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

201151440 is a wasteful number, since it uses less digits than its factorization.

201151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 201151440 is about 14182.7867501419. The cubic root of 201151440 is about 585.9236777753.

The spelling of 201151440 in words is "two hundred one million, one hundred fifty-one thousand, four hundred forty".