445561482240000 has 2800 divisors, whose sum is σ = 1962684247197696. Its totient is φ = 98537472000000.

The previous prime is 445561482239983. The next prime is 445561482240023. The reversal of 445561482240000 is 42284165544.

445561482240000 is a `hidden beast` number, since 4 + 4 + 5 + 5 + 614 + 8 + 2 + 24 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 89994237525 + ... + 89994242475.

Almost surely, 2^{445561482240000} is an apocalyptic number.

445561482240000 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 445561482240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981342123598848).

445561482240000 is an abundant number, since it is smaller than the sum of its proper divisors (1517122764957696).

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

445561482240000 is an frugal number, since it uses more digits than its factorization.

445561482240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 445561482240000 in words is "four hundred forty-five trillion, five hundred sixty-one billion, four hundred eighty-two million, two hundred forty thousand".