4405040640 has 960 divisors, whose sum is σ = 20590682112. Its totient is φ = 840499200.

The previous prime is 4405040611. The next prime is 4405040683. The reversal of 4405040640 is 460405044.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062945 + ... + 23063135.

Almost surely, 2^4405040640 is an apocalyptic number.

4405040640 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 4405040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295341056).

4405040640 is an abundant number, since it is smaller than the sum of its proper divisors (16185641472).

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

4405040640 is a wasteful number, since it uses less digits than its factorization.

4405040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4405040640 is about 66370.4801850943. The cubic root of 4405040640 is about 1639.2680453679.

Adding to 4405040640 its reverse (460405044), we get a palindrome (4865445684).

The spelling of 4405040640 in words is "four billion, four hundred five million, forty thousand, six hundred forty".