5641106042880 has 2184 divisors, whose sum is σ = 25792981825104. Its totient is φ = 1170505728000.

The previous prime is 5641106042821. The next prime is 5641106042981. The reversal of 5641106042880 is 882406011465.

It is a happy number.

5641106042880 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 10 + 604 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8047226530 + ... + 8047227230.

Almost surely, 2^{5641106042880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641106042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896490912552).

5641106042880 is an abundant number, since it is smaller than the sum of its proper divisors (20151875782224).

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

5641106042880 is an equidigital number, since it uses as much as digits as its factorization.

5641106042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5641106042880 in words is "five trillion, six hundred forty-one billion, one hundred six million, forty-two thousand, eight hundred eighty".