4071905671680 has 3840 divisors, whose sum is σ = 19805662356480. Its totient is φ = 747424972800.

The previous prime is 4071905671657. The next prime is 4071905671727. The reversal of 4071905671680 is 861765091704.

4071905671680 is a `hidden beast` number, since 4 + 0 + 7 + 19 + 0 + 567 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45751749076 + ... + 45751749164.

It is an arithmetic number, because the mean of its divisors is an integer number (5157724572).

Almost surely, 2^{4071905671680} is an apocalyptic number.

4071905671680 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 4071905671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902831178240).

4071905671680 is an abundant number, since it is smaller than the sum of its proper divisors (15733756684800).

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

4071905671680 is a wasteful number, since it uses less digits than its factorization.

4071905671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 4071905671680 in words is "four trillion, seventy-one billion, nine hundred five million, six hundred seventy-one thousand, six hundred eighty".