4391089920 has 432 divisors, whose sum is σ = 18133305120. Its totient is φ = 1003290624.

The previous prime is 4391089877. The next prime is 4391089931. The reversal of 4391089920 is 299801934.

4391089920 is a `hidden beast` number, since 439 + 108 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692144 + ... + 1694736.

Almost surely, 2^4391089920 is an apocalyptic number.

4391089920 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 4391089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066652560).

4391089920 is an abundant number, since it is smaller than the sum of its proper divisors (13742215200).

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

4391089920 is a wasteful number, since it uses less digits than its factorization.

4391089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4391089920 is about 66265.2995164136. The cubic root of 4391089920 is about 1637.5357000938.

The spelling of 4391089920 in words is "four billion, three hundred ninety-one million, eighty-nine thousand, nine hundred twenty".