4466456350720 has 832 divisors, whose sum is σ = 13774795001856. Its totient is φ = 1352159723520.

The previous prime is 4466456350709. The next prime is 4466456350729. The reversal of 4466456350720 is 270536546644.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466456350729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5604085362 + ... + 5604086158.

Almost surely, 2^{4466456350720} is an apocalyptic number.

4466456350720 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 4466456350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887397500928).

4466456350720 is an abundant number, since it is smaller than the sum of its proper divisors (9308338651136).

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

4466456350720 is a wasteful number, since it uses less digits than its factorization.

4466456350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 52.

The spelling of 4466456350720 in words is "four trillion, four hundred sixty-six billion, four hundred fifty-six million, three hundred fifty thousand, seven hundred twenty".