4089905442 has 144 divisors (see below), whose sum is σ = 10535526144. Its totient is φ = 1143072000.

The previous prime is 4089905419. The next prime is 4089905459. The reversal of 4089905442 is 2445099804.

4089905442 is a `hidden beast` number, since 40 + 89 + 90 + 5 + 442 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15091767 + ... + 15092037.

It is an arithmetic number, because the mean of its divisors is an integer number (73163376).

Almost surely, 2^4089905442 is an apocalyptic number.

4089905442 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 4089905442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267763072).

4089905442 is an abundant number, since it is smaller than the sum of its proper divisors (6445620702).

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

4089905442 is a wasteful number, since it uses less digits than its factorization.

4089905442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4089905442 is about 63952.3685409696. The cubic root of 4089905442 is about 1599.2060438466.

The spelling of 4089905442 in words is "four billion, eighty-nine million, nine hundred five thousand, four hundred forty-two".