4405982081670 has 384 divisors, whose sum is σ = 12857869559808. Its totient is φ = 1039750732800.

The previous prime is 4405982081663. The next prime is 4405982081689. The reversal of 4405982081670 is 761802895044.

It is a happy number.

4405982081670 is a `hidden beast` number, since 4 + 40 + 598 + 2 + 0 + 8 + 1 + 6 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3412843725 + ... + 3412845015.

It is an arithmetic number, because the mean of its divisors is an integer number (33484035312).

Almost surely, 2^{4405982081670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4405982081670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428934779904).

4405982081670 is an abundant number, since it is smaller than the sum of its proper divisors (8451887478138).

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

4405982081670 is a wasteful number, since it uses less digits than its factorization.

4405982081670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4405982081670 in words is "four trillion, four hundred five billion, nine hundred eighty-two million, eighty-one thousand, six hundred seventy".