444024505434240 has 1024 divisors, whose sum is σ = 1685242368000000. Its totient is φ = 110243663953920.

The previous prime is 444024505434239. The next prime is 444024505434247. The reversal of 444024505434240 is 42434505420444.

444024505434240 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 24 + 5 + 0 + 543 + 42 + 40 = 666.

It is a super-3 number, since 3×444024505434240³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (444024505434247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4396275261 + ... + 4396376259.

It is an arithmetic number, because the mean of its divisors is an integer number (1645744500000).

Almost surely, 2^{444024505434240} is an apocalyptic number.

444024505434240 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 444024505434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842621184000000).

444024505434240 is an abundant number, since it is smaller than the sum of its proper divisors (1241217862565760).

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

444024505434240 is a wasteful number, since it uses less digits than its factorization.

444024505434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101370 (or 101352 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 45.

The spelling of 444024505434240 in words is "four hundred forty-four trillion, twenty-four billion, five hundred five million, four hundred thirty-four thousand, two hundred forty".