3200233421440 has 256 divisors, whose sum is σ = 8401199057280. Its totient is φ = 1156055040000.

The previous prime is 3200233421389. The next prime is 3200233421461. The reversal of 3200233421440 is 441243320023.

It is a junction number, because it is equal to n+sod(n) for n = 3200233421399 and 3200233421408.

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 31 ways as a sum of consecutive naturals, for example, 952165360 + ... + 952168720.

Almost surely, 2^{3200233421440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200233421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200599528640).

3200233421440 is an abundant number, since it is smaller than the sum of its proper divisors (5200965635840).

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

3200233421440 is a wasteful number, since it uses less digits than its factorization.

3200233421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3200233421440 its reverse (441243320023), we get a palindrome (3641476741463).

The spelling of 3200233421440 in words is "three trillion, two hundred billion, two hundred thirty-three million, four hundred twenty-one thousand, four hundred forty".