4006850951680 has 160 divisors (see below), whose sum is σ = 9712855707984. Its totient is φ = 1585185816576.

The previous prime is 4006850951669. The next prime is 4006850951683. The reversal of 4006850951680 is 861590586004.

4006850951680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 971060459776 + 3035790491904 = 985424^2 + 1742352^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4006850951683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85452402 + ... + 85499278.

Almost surely, 2^{4006850951680} is an apocalyptic number.

4006850951680 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 4006850951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856427853992).

4006850951680 is an abundant number, since it is smaller than the sum of its proper divisors (5706004756304).

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

4006850951680 is a wasteful number, since it uses less digits than its factorization.

4006850951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47266 (or 47250 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 4006850951680 in words is "four trillion, six billion, eight hundred fifty million, nine hundred fifty-one thousand, six hundred eighty".