444378580380000 has 2880 divisors, whose sum is σ = 1910604794757120. Its totient is φ = 100151396352000.

The previous prime is 444378580379971. The next prime is 444378580380001. The reversal of 444378580380000 is 83085873444.

444378580380000 is a `hidden beast` number, since 4 + 443 + 78 + 58 + 0 + 3 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444378580380001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 749373659704 + ... + 749373660296.

It is an arithmetic number, because the mean of its divisors is an integer number (663404442624).

Almost surely, 2^{444378580380000} is an apocalyptic number.

444378580380000 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 444378580380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955302397378560).

444378580380000 is an abundant number, since it is smaller than the sum of its proper divisors (1466226214377120).

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

444378580380000 is a wasteful number, since it uses less digits than its factorization.

444378580380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 444378580380000 in words is "four hundred forty-four trillion, three hundred seventy-eight billion, five hundred eighty million, three hundred eighty thousand".