444473948252880 has 8640 divisors, whose sum is σ = 2202471652792320. Its totient is φ = 82282372300800.

The previous prime is 444473948252879. The next prime is 444473948252951. The reversal of 444473948252880 is 88252849374444.

444473948252880 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 7 + 3 + 94 + 8 + 2 + 528 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 444473948252799 and 444473948252808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 7286458168050 + ... + 7286458168110.

Almost surely, 2^{444473948252880} is an apocalyptic number.

444473948252880 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 444473948252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101235826396160).

444473948252880 is an abundant number, since it is smaller than the sum of its proper divisors (1757997704539440).

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

444473948252880 is a wasteful number, since it uses less digits than its factorization.

444473948252880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 72.

The spelling of 444473948252880 in words is "four hundred forty-four trillion, four hundred seventy-three billion, nine hundred forty-eight million, two hundred fifty-two thousand, eight hundred eighty".