3217961641440 has 1152 divisors, whose sum is σ = 13178512650240. Its totient is φ = 653532364800.

The previous prime is 3217961641421. The next prime is 3217961641463. The reversal of 3217961641440 is 441461697123.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3217961641440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1999975356 + ... + 1999976964.

It is an arithmetic number, because the mean of its divisors is an integer number (11439681120).

Almost surely, 2^{3217961641440} is an apocalyptic number.

3217961641440 is a gapful number since it is divisible by the number (30) 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 3217961641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589256325120).

3217961641440 is an abundant number, since it is smaller than the sum of its proper divisors (9960551008800).

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

3217961641440 is a wasteful number, since it uses less digits than its factorization.

3217961641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3217961641440 in words is "three trillion, two hundred seventeen billion, nine hundred sixty-one million, six hundred forty-one thousand, four hundred forty".