4484462920560 has 2400 divisors, whose sum is σ = 20085578726400. Its totient is φ = 928851162624.

The previous prime is 4484462920543. The next prime is 4484462920633. The reversal of 4484462920560 is 650292644844.

4484462920560 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 4 + 629 + 2 + 0 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×4484462920560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4484462920497 and 4484462920506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 194976648709 + ... + 194976648731.

It is an arithmetic number, because the mean of its divisors is an integer number (8368991136).

Almost surely, 2^{4484462920560} is an apocalyptic number.

4484462920560 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 4484462920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042789363200).

4484462920560 is an abundant number, since it is smaller than the sum of its proper divisors (15601115805840).

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

4484462920560 is an frugal number, since it uses more digits than its factorization.

4484462920560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 4484462920560 in words is "four trillion, four hundred eighty-four billion, four hundred sixty-two million, nine hundred twenty thousand, five hundred sixty".