3145441767840 has 288 divisors, whose sum is σ = 10853500222656. Its totient is φ = 829446635520.

The previous prime is 3145441767829. The next prime is 3145441767847. The reversal of 3145441767840 is 487671445413.

3145441767840 is a `hidden beast` number, since 3 + 1 + 4 + 544 + 17 + 6 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3145441767847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180318159 + ... + 180335601.

It is an arithmetic number, because the mean of its divisors is an integer number (37685764662).

Almost surely, 2^{3145441767840} is an apocalyptic number.

3145441767840 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 3145441767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426750111328).

3145441767840 is an abundant number, since it is smaller than the sum of its proper divisors (7708058454816).

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

3145441767840 is a wasteful number, since it uses less digits than its factorization.

3145441767840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18852 (or 18841 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3145441767840 in words is "three trillion, one hundred forty-five billion, four hundred forty-one million, seven hundred sixty-seven thousand, eight hundred forty".