4460193446016 has 384 divisors, whose sum is σ = 15262714414080. Its totient is φ = 1121113958400.

The previous prime is 4460193446003. The next prime is 4460193446057. The reversal of 4460193446016 is 6106443910644.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4460193446016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28336365 + ... + 28493331.

It is an arithmetic number, because the mean of its divisors is an integer number (39746652120).

Almost surely, 2^{4460193446016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4460193446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631357207040).

4460193446016 is an abundant number, since it is smaller than the sum of its proper divisors (10802520968064).

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

4460193446016 is a wasteful number, since it uses less digits than its factorization.

4460193446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157064 (or 157021 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 4460193446016 in words is "four trillion, four hundred sixty billion, one hundred ninety-three million, four hundred forty-six thousand, sixteen".