4405312240 has 160 divisors (see below), whose sum is σ = 12048978816. Its totient is φ = 1466449920.

The previous prime is 4405312237. The next prime is 4405312259. The reversal of 4405312240 is 422135044.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7186174 + ... + 7186786.

Almost surely, 2^4405312240 is an apocalyptic number.

4405312240 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 4405312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6024489408).

4405312240 is an abundant number, since it is smaller than the sum of its proper divisors (7643666576).

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

4405312240 is a wasteful number, since it uses less digits than its factorization.

4405312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4405312240 is about 66372.5262439211. The cubic root of 4405312240 is about 1639.3017352615.

Adding to 4405312240 its reverse (422135044), we get a palindrome (4827447284).

The spelling of 4405312240 in words is "four billion, four hundred five million, three hundred twelve thousand, two hundred forty".