4442233490464 has 768 divisors, whose sum is σ = 12180575232000. Its totient is φ = 1575305625600.

The previous prime is 4442233490417. The next prime is 4442233490657. The reversal of 4442233490464 is 4640943322444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6865893789 + ... + 6865894435.

It is an arithmetic number, because the mean of its divisors is an integer number (15860124000).

Almost surely, 2^{4442233490464} is an apocalyptic number.

4442233490464 is a gapful number since it is divisible by the number (44) 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 4442233490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090287616000).

4442233490464 is an abundant number, since it is smaller than the sum of its proper divisors (7738341741536).

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

4442233490464 is a wasteful number, since it uses less digits than its factorization.

4442233490464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 49.

The spelling of 4442233490464 in words is "four trillion, four hundred forty-two billion, two hundred thirty-three million, four hundred ninety thousand, four hundred sixty-four".