4244460444000 has 576 divisors, whose sum is σ = 17224075395072. Its totient is φ = 969681024000.

The previous prime is 4244460443999. The next prime is 4244460444023. The reversal of 4244460444000 is 4440644424.

4244460444000 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 4 + 604 + 4 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 854529517 + ... + 854534483.

It is an arithmetic number, because the mean of its divisors is an integer number (29902908672).

Almost surely, 2^{4244460444000} is an apocalyptic number.

4244460444000 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 4244460444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612037697536).

4244460444000 is an abundant number, since it is smaller than the sum of its proper divisors (12979614951072).

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

4244460444000 is a wasteful number, since it uses less digits than its factorization.

4244460444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The spelling of 4244460444000 in words is "four trillion, two hundred forty-four billion, four hundred sixty million, four hundred forty-four thousand".