444018193920 has 480 divisors, whose sum is σ = 1764098519040. Its totient is φ = 101105418240.

The previous prime is 444018193907. The next prime is 444018193963. The reversal of 444018193920 is 29391810444.

444018193920 is a `hidden beast` number, since 4 + 440 + 18 + 193 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 43701801 + ... + 43711959.

It is an arithmetic number, because the mean of its divisors is an integer number (3675205248).

Almost surely, 2^444018193920 is an apocalyptic number.

444018193920 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 444018193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882049259520).

444018193920 is an abundant number, since it is smaller than the sum of its proper divisors (1320080325120).

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

444018193920 is a wasteful number, since it uses less digits than its factorization.

444018193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10466 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 444018193920 in words is "four hundred forty-four billion, eighteen million, one hundred ninety-three thousand, nine hundred twenty".