4484361052160 has 448 divisors, whose sum is σ = 12042319693824. Its totient is φ = 1589025177600.

The previous prime is 4484361052121. The next prime is 4484361052177. The reversal of 4484361052160 is 612501634844.

It is a Cunningham number, because it is equal to 2117631²-1.

It is a super-2 number, since 2×4484361052160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8915230469 + ... + 8915230971.

It is an arithmetic number, because the mean of its divisors is an integer number (26880177888).

Almost surely, 2^{4484361052160} is an apocalyptic number.

4484361052160 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 4484361052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021159846912).

4484361052160 is an abundant number, since it is smaller than the sum of its proper divisors (7557958641664).

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

4484361052160 is a wasteful number, since it uses less digits than its factorization.

4484361052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 4484361052160 in words is "four trillion, four hundred eighty-four billion, three hundred sixty-one million, fifty-two thousand, one hundred sixty".