4140201456 has 30 divisors (see below), whose sum is σ = 11586814200. Its totient is φ = 1380067104.

The previous prime is 4140201389. The next prime is 4140201473. The reversal of 4140201456 is 6541020414.

4140201456 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 201 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14375556 + ... + 14375843.

It is an arithmetic number, because the mean of its divisors is an integer number (386227140).

Almost surely, 2^4140201456 is an apocalyptic number.

It is an amenable number.

4140201456 is an abundant number, since it is smaller than the sum of its proper divisors (7446612744).

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

4140201456 is a wasteful number, since it uses less digits than its factorization.

4140201456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28751413 (or 28751404 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4140201456 is about 64344.3972386097. The cubic root of 4140201456 is about 1605.7348182705.

The spelling of 4140201456 in words is "four billion, one hundred forty million, two hundred one thousand, four hundred fifty-six".