4384055040 has 144 divisors (see below), whose sum is σ = 14050423296. Its totient is φ = 1165004800.

The previous prime is 4384055021. The next prime is 4384055051. The reversal of 4384055040 is 405504834.

It is a junction number, because it is equal to n+sod(n) for n = 4384054992 and 4384055010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192405 + ... + 1196075.

It is an arithmetic number, because the mean of its divisors is an integer number (97572384).

Almost surely, 2^4384055040 is an apocalyptic number.

4384055040 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 4384055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025211648).

4384055040 is an abundant number, since it is smaller than the sum of its proper divisors (9666368256).

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

4384055040 is a wasteful number, since it uses less digits than its factorization.

4384055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 4384055040 is about 66212.1970636831. The cubic root of 4384055040 is about 1636.6607446153.

Adding to 4384055040 its reverse (405504834), we get a palindrome (4789559874).

The spelling of 4384055040 in words is "four billion, three hundred eighty-four million, fifty-five thousand, forty".