444143826321600 has 336 divisors, whose sum is σ = 1477845750318336. Its totient is φ = 116757527040000.

The previous prime is 444143826321583. The next prime is 444143826321619. The reversal of 444143826321600 is 6123628341444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 444143826321600.

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, 3374194987 + ... + 3374326613.

It is an arithmetic number, because the mean of its divisors is an integer number (4398350447376).

Almost surely, 2^{444143826321600} is an apocalyptic number.

444143826321600 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 444143826321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738922875159168).

444143826321600 is an abundant number, since it is smaller than the sum of its proper divisors (1033701923996736).

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

444143826321600 is a wasteful number, since it uses less digits than its factorization.

444143826321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141624 (or 141609 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 444143826321600 in words is "four hundred forty-four trillion, one hundred forty-three billion, eight hundred twenty-six million, three hundred twenty-one thousand, six hundred".