4477882887744 has 168 divisors, whose sum is σ = 13811964743808. Its totient is φ = 1276618613760.

The previous prime is 4477882887739. The next prime is 4477882887799.

4477882887744 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4477882887744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3820857 + ... + 4853319.

It is an arithmetic number, because the mean of its divisors is an integer number (82214075856).

Almost surely, 2^{4477882887744} 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 4477882887744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905982371904).

4477882887744 is an abundant number, since it is smaller than the sum of its proper divisors (9334081856064).

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

4477882887744 is a wasteful number, since it uses less digits than its factorization.

4477882887744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032953 (or 1032936 counting only the distinct ones).

The product of its digits is 5035261952, while the sum is 78.

The spelling of 4477882887744 in words is "four trillion, four hundred seventy-seven billion, eight hundred eighty-two million, eight hundred eighty-seven thousand, seven hundred forty-four".