4491556945920 has 960 divisors, whose sum is σ = 17642836411200. Its totient is φ = 1087163596800.

The previous prime is 4491556945919. The next prime is 4491556945969. The reversal of 4491556945920 is 295496551944.

4491556945920 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 5 + 569 + 45 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7007108800 + ... + 7007109440.

It is an arithmetic number, because the mean of its divisors is an integer number (18377954595).

Almost surely, 2^{4491556945920} is an apocalyptic number.

4491556945920 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 4491556945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821418205600).

4491556945920 is an abundant number, since it is smaller than the sum of its proper divisors (13151279465280).

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

4491556945920 is an frugal number, since it uses more digits than its factorization.

4491556945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 4491556945920 in words is "four trillion, four hundred ninety-one billion, five hundred fifty-six million, nine hundred forty-five thousand, nine hundred twenty".