4442466018240 has 336 divisors, whose sum is σ = 16304804474400. Its totient is φ = 1106932137984.

The previous prime is 4442466018229. The next prime is 4442466018311. The reversal of 4442466018240 is 428106642444.

4442466018240 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 466 + 0 + 182 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3438496 + ... + 4550624.

Almost surely, 2^{4442466018240} is an apocalyptic number.

4442466018240 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 4442466018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8152402237200).

4442466018240 is an abundant number, since it is smaller than the sum of its proper divisors (11862338456160).

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

4442466018240 is a wasteful number, since it uses less digits than its factorization.

4442466018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112244 (or 1112231 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 4442466018240 in words is "four trillion, four hundred forty-two billion, four hundred sixty-six million, eighteen thousand, two hundred forty".