4406604871680 has 2160 divisors, whose sum is σ = 18367353524520. Its totient is φ = 1009510318080.

The previous prime is 4406604871639. The next prime is 4406604871693. The reversal of 4406604871680 is 861784066044.

4406604871680 is a `hidden beast` number, since 4 + 40 + 6 + 60 + 487 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×4406604871680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53091624919 + ... + 53091625001.

Almost surely, 2^{4406604871680} is an apocalyptic number.

4406604871680 is a gapful number since it is divisible by the number (40) 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 4406604871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183676762260).

4406604871680 is an abundant number, since it is smaller than the sum of its proper divisors (13960748652840).

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

4406604871680 is a wasteful number, since it uses less digits than its factorization.

4406604871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4406604871680 in words is "four trillion, four hundred six billion, six hundred four million, eight hundred seventy-one thousand, six hundred eighty".