3201180944640 has 864 divisors, whose sum is σ = 12563089330176. Its totient is φ = 691573800960.

The previous prime is 3201180944617. The next prime is 3201180944651. The reversal of 3201180944640 is 464490811023.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3201180944592 and 3201180944601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250810899 + ... + 250823661.

Almost surely, 2^{3201180944640} is an apocalyptic number.

3201180944640 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 3201180944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281544665088).

3201180944640 is an abundant number, since it is smaller than the sum of its proper divisors (9361908385536).

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

3201180944640 is a wasteful number, since it uses less digits than its factorization.

3201180944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12875 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 3201180944640 in words is "three trillion, two hundred one billion, one hundred eighty million, nine hundred forty-four thousand, six hundred forty".