5641632005040 has 200 divisors, whose sum is σ = 19609086375648. Its totient is φ = 1503294059520.

The previous prime is 5641632005021. The next prime is 5641632005041. The reversal of 5641632005040 is 405002361465.

5641632005040 is a `hidden beast` number, since 5 + 641 + 6 + 3 + 2 + 0 + 0 + 5 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5641632004986 and 5641632005004.

It is not an unprimeable number, because it can be changed into a prime (5641632005041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8230549 + ... + 8889611.

Almost surely, 2^{5641632005040} 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 5641632005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9804543187824).

5641632005040 is an abundant number, since it is smaller than the sum of its proper divisors (13967454370608).

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

5641632005040 is a wasteful number, since it uses less digits than its factorization.

5641632005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660409 (or 660394 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 5641632005040 in words is "five trillion, six hundred forty-one billion, six hundred thirty-two million, five thousand, forty".