330240221053000 has 32 divisors (see below), whose sum is σ = 772762117266360. Its totient is φ = 132096088420800.

The previous prime is 330240221052967. The next prime is 330240221053097. The reversal of 330240221053000 is 350122042033.

It can be written as a sum of positive squares in 4 ways, for example, as 16617868556004 + 313622352496996 = 4076502^2 + 17709386^2 .

It is a super-3 number, since 3×330240221053000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165120109527 + ... + 165120111526.

Almost surely, 2^{330240221053000} is an apocalyptic number.

It is an amenable number.

330240221053000 is an abundant number, since it is smaller than the sum of its proper divisors (442521896213360).

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

330240221053000 is a wasteful number, since it uses less digits than its factorization.

330240221053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330240221074 (or 330240221060 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 330240221053000 its reverse (350122042033), we get a palindrome (330590343095033).

The spelling of 330240221053000 in words is "three hundred thirty trillion, two hundred forty billion, two hundred twenty-one million, fifty-three thousand".