3641440345144 has 64 divisors (see below), whose sum is σ = 7969709491200. Its totient is φ = 1527297684864.

The previous prime is 3641440345117. The next prime is 3641440345181. The reversal of 3641440345144 is 4415430441463.

3641440345144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3641440345144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41091267 + ... + 41179789.

It is an arithmetic number, because the mean of its divisors is an integer number (124526710800).

Almost surely, 2^{3641440345144} is an apocalyptic number.

It is an amenable number.

3641440345144 is an abundant number, since it is smaller than the sum of its proper divisors (4328269146056).

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

3641440345144 is a wasteful number, since it uses less digits than its factorization.

3641440345144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104212 (or 104208 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 3641440345144 in words is "three trillion, six hundred forty-one billion, four hundred forty million, three hundred forty-five thousand, one hundred forty-four".