4408896666240 has 3072 divisors, whose sum is σ = 19632098304000. Its totient is φ = 931627008000.

The previous prime is 4408896666227. The next prime is 4408896666253. The reversal of 4408896666240 is 426666988044.

It is an interprime number because it is at equal distance from previous prime (4408896666227) and next prime (4408896666253).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43652442190 + ... + 43652442290.

It is an arithmetic number, because the mean of its divisors is an integer number (6390657000).

Almost surely, 2^{4408896666240} is an apocalyptic number.

4408896666240 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 4408896666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816049152000).

4408896666240 is an abundant number, since it is smaller than the sum of its proper divisors (15223201637760).

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

4408896666240 is a wasteful number, since it uses less digits than its factorization.

4408896666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 4408896666240 in words is "four trillion, four hundred eight billion, eight hundred ninety-six million, six hundred sixty-six thousand, two hundred forty".