444255522480 has 1600 divisors, whose sum is σ = 1986934828032. Its totient is φ = 89340641280.

The previous prime is 444255522449. The next prime is 444255522541. The reversal of 444255522480 is 84225552444.

444255522480 is a `hidden beast` number, since 4 + 4 + 42 + 5 + 5 + 522 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3242740972 + ... + 3242741108.

Almost surely, 2^444255522480 is an apocalyptic number.

444255522480 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 444255522480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993467414016).

444255522480 is an abundant number, since it is smaller than the sum of its proper divisors (1542679305552).

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

444255522480 is a wasteful number, since it uses less digits than its factorization.

444255522480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

The spelling of 444255522480 in words is "four hundred forty-four billion, two hundred fifty-five million, five hundred twenty-two thousand, four hundred eighty".