445490038000 has 160 divisors (see below), whose sum is σ = 1243036154880. Its totient is φ = 151256044800.

The previous prime is 445490037973. The next prime is 445490038039. The reversal of 445490038000 is 830094544.

It is a super-4 number, since 4×445490038000⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1287531 + ... + 1596469.

It is an arithmetic number, because the mean of its divisors is an integer number (7768975968).

Almost surely, 2^445490038000 is an apocalyptic number.

445490038000 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 445490038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621518077440).

445490038000 is an abundant number, since it is smaller than the sum of its proper divisors (797546116880).

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

445490038000 is a wasteful number, since it uses less digits than its factorization.

445490038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309072 (or 309056 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 445490038000 in words is "four hundred forty-five billion, four hundred ninety million, thirty-eight thousand".