4464848041920 has 672 divisors, whose sum is σ = 17711214768000. Its totient is φ = 1011263864832.

The previous prime is 4464848041837. The next prime is 4464848041939. The reversal of 4464848041920 is 291408484644.

4464848041920 is a `hidden beast` number, since 4 + 46 + 484 + 80 + 41 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1294532356 + ... + 1294535804.

Almost surely, 2^{4464848041920} is an apocalyptic number.

4464848041920 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 4464848041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855607384000).

4464848041920 is an abundant number, since it is smaller than the sum of its proper divisors (13246366726080).

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

4464848041920 is a wasteful number, since it uses less digits than its factorization.

4464848041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4464848041920 in words is "four trillion, four hundred sixty-four billion, eight hundred forty-eight million, forty-one thousand, nine hundred twenty".