4394090880 has 384 divisors, whose sum is σ = 15763381920. Its totient is φ = 1127153664.

The previous prime is 4394090839. The next prime is 4394090887. The reversal of 4394090880 is 880904934.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4394090887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27987762 + ... + 27987918.

Almost surely, 2^4394090880 is an apocalyptic number.

4394090880 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 4394090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881690960).

4394090880 is an abundant number, since it is smaller than the sum of its proper divisors (11369291040).

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

4394090880 is a wasteful number, since it uses less digits than its factorization.

4394090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4394090880 is about 66287.9391744833. The cubic root of 4394090880 is about 1637.9086568590.

The spelling of 4394090880 in words is "four billion, three hundred ninety-four million, ninety thousand, eight hundred eighty".