444069441002880 has 1536 divisors, whose sum is σ = 2044521658368000. Its totient is φ = 90023502643200.

The previous prime is 444069441002867. The next prime is 444069441002911. The reversal of 444069441002880 is 88200144960444.

444069441002880 is a `hidden beast` number, since 4 + 4 + 40 + 6 + 94 + 410 + 0 + 28 + 80 = 666.

It is a super-2 number, since 2×444069441002880² (a number of 30 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381289281 + ... + 382452159.

It is an arithmetic number, because the mean of its divisors is an integer number (1331068788000).

Almost surely, 2^{444069441002880} is an apocalyptic number.

444069441002880 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 444069441002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022260829184000).

444069441002880 is an abundant number, since it is smaller than the sum of its proper divisors (1600452217365120).

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

444069441002880 is a wasteful number, since it uses less digits than its factorization.

444069441002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162973 (or 1162948 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 444069441002880 in words is "four hundred forty-four trillion, sixty-nine billion, four hundred forty-one million, two thousand, eight hundred eighty".