4433681020860 has 1728 divisors, whose sum is σ = 18070270525440. Its totient is φ = 898728929280.

The previous prime is 4433681020849. The next prime is 4433681020903. The reversal of 4433681020860 is 680201863344.

4433681020860 is a `hidden beast` number, since 4 + 433 + 6 + 8 + 1 + 0 + 208 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21012706155 + ... + 21012706365.

It is an arithmetic number, because the mean of its divisors is an integer number (10457332480).

Almost surely, 2^{4433681020860} 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 4433681020860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035135262720).

4433681020860 is an abundant number, since it is smaller than the sum of its proper divisors (13636589504580).

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

4433681020860 is a wasteful number, since it uses less digits than its factorization.

4433681020860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4433681020860 in words is "four trillion, four hundred thirty-three billion, six hundred eighty-one million, twenty thousand, eight hundred sixty".