444235634016240 has 640 divisors, whose sum is σ = 1605857218560000. Its totient is φ = 100456726487040.

The previous prime is 444235634016203. The next prime is 444235634016247. The reversal of 444235634016240 is 42610436532444.

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 444235634016240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444235634016247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1066745181 + ... + 1067161539.

It is an arithmetic number, because the mean of its divisors is an integer number (2509151904000).

Almost surely, 2^{444235634016240} is an apocalyptic number.

444235634016240 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 444235634016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802928609280000).

444235634016240 is an abundant number, since it is smaller than the sum of its proper divisors (1161621584543760).

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

444235634016240 is a wasteful number, since it uses less digits than its factorization.

444235634016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416733 (or 416727 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 444235634016240 in words is "four hundred forty-four trillion, two hundred thirty-five billion, six hundred thirty-four million, sixteen thousand, two hundred forty".