4406341680 has 400 divisors, whose sum is σ = 17354826720. Its totient is φ = 1027178496.

The previous prime is 4406341651. The next prime is 4406341717. The reversal of 4406341680 is 861436044.

4406341680 is a `hidden beast` number, since 4 + 4 + 0 + 634 + 16 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1599184 + ... + 1601936.

Almost surely, 2^4406341680 is an apocalyptic number.

4406341680 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 4406341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677413360).

4406341680 is an abundant number, since it is smaller than the sum of its proper divisors (12948485040).

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

4406341680 is a wasteful number, since it uses less digits than its factorization.

4406341680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4406341680 is about 66380.2808068782. The cubic root of 4406341680 is about 1639.4294168160.

The spelling of 4406341680 in words is "four billion, four hundred six million, three hundred forty-one thousand, six hundred eighty".