4384574040 has 512 divisors, whose sum is σ = 17597399040. Its totient is φ = 846028800.

The previous prime is 4384574027. The next prime is 4384574081. The reversal of 4384574040 is 404754834.

It is a self number, because there is not a number n which added to its sum of digits gives 4384574040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16179105 + ... + 16179375.

It is an arithmetic number, because the mean of its divisors is an integer number (34369920).

Almost surely, 2^4384574040 is an apocalyptic number.

4384574040 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 4384574040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798699520).

4384574040 is an abundant number, since it is smaller than the sum of its proper divisors (13212825000).

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

4384574040 is a wasteful number, since it uses less digits than its factorization.

4384574040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 4384574040 is about 66216.1161651754. The cubic root of 4384574040 is about 1636.7253266367.

The spelling of 4384574040 in words is "four billion, three hundred eighty-four million, five hundred seventy-four thousand, forty".