3201013405440 has 216 divisors, whose sum is σ = 11658077580240. Its totient is φ = 808677015552.

The previous prime is 3201013405427. The next prime is 3201013405531. The reversal of 3201013405440 is 445043101023.

It is a happy number.

3201013405440 is a `hidden beast` number, since 3 + 201 + 0 + 13 + 4 + 0 + 5 + 440 = 666.

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 23 ways as a sum of consecutive naturals, for example, 7093377 + ... + 7531136.

It is an arithmetic number, because the mean of its divisors is an integer number (53972581390).

Almost surely, 2^{3201013405440} is an apocalyptic number.

3201013405440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3201013405440 is an abundant number, since it is smaller than the sum of its proper divisors (8457064174800).

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

3201013405440 is a wasteful number, since it uses less digits than its factorization.

3201013405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624559 (or 14624542 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3201013405440 its reverse (445043101023), we get a palindrome (3646056506463).

The spelling of 3201013405440 in words is "three trillion, two hundred one billion, thirteen million, four hundred five thousand, four hundred forty".