4405207842 has 160 divisors (see below), whose sum is σ = 11740569984. Its totient is φ = 1208390400.

The previous prime is 4405207811. The next prime is 4405207847. The reversal of 4405207842 is 2487025044.

4405207842 is a `hidden beast` number, since 4 + 405 + 207 + 8 + 42 = 666.

It is a super-2 number, since 2×4405207842² = 38811712262436593928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4405207797 and 4405207806.

It is not an unprimeable number, because it can be changed into a prime (4405207847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2973742 + ... + 2975222.

Almost surely, 2^4405207842 is an apocalyptic number.

4405207842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4405207842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870284992).

4405207842 is an abundant number, since it is smaller than the sum of its proper divisors (7335362142).

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

4405207842 is a wasteful number, since it uses less digits than its factorization.

4405207842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4405207842 is about 66371.7397843389. The cubic root of 4405207842 is about 1639.2887856554.

The spelling of 4405207842 in words is "four billion, four hundred five million, two hundred seven thousand, eight hundred forty-two".