444058578432 has 1600 divisors, whose sum is σ = 1711176192000. Its totient is φ = 114124308480.

The previous prime is 444058578427. The next prime is 444058578479. The reversal of 444058578432 is 234875850444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8378463718 + ... + 8378463770.

It is an arithmetic number, because the mean of its divisors is an integer number (1069485120).

Almost surely, 2^444058578432 is an apocalyptic number.

444058578432 is a gapful number since it is divisible by the number (42) 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 444058578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855588096000).

444058578432 is an abundant number, since it is smaller than the sum of its proper divisors (1267117613568).

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

444058578432 is an equidigital number, since it uses as much as digits as its factorization.

444058578432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 444058578432 in words is "four hundred forty-four billion, fifty-eight million, five hundred seventy-eight thousand, four hundred thirty-two".