4444306513920 has 2688 divisors, whose sum is σ = 20262284697600. Its totient is φ = 904299282432.

The previous prime is 4444306513873. The next prime is 4444306513949. The reversal of 4444306513920 is 293156034444.

4444306513920 is a `hidden beast` number, since 4 + 4 + 4 + 43 + 0 + 6 + 513 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56257044441 + ... + 56257044519.

Almost surely, 2^{4444306513920} is an apocalyptic number.

4444306513920 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 4444306513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131142348800).

4444306513920 is an abundant number, since it is smaller than the sum of its proper divisors (15817978183680).

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

4444306513920 is a wasteful number, since it uses less digits than its factorization.

4444306513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4444306513920 in words is "four trillion, four hundred forty-four billion, three hundred six million, five hundred thirteen thousand, nine hundred twenty".